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Affine algebraic geometry [[electronic resource] ] : proceedings of the conference, Osaka, Japan, 3-6 March 2011 / / editors, Kayo Masuda, Hideo Kojima, Takashi Kishimoto
| Affine algebraic geometry [[electronic resource] ] : proceedings of the conference, Osaka, Japan, 3-6 March 2011 / / editors, Kayo Masuda, Hideo Kojima, Takashi Kishimoto |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2013 |
| Descrizione fisica | 1 online resource (351 p.) |
| Disciplina | 516.352 |
| Altri autori (Persone) |
MasudaKayo
KojimaHideo KishimotoTakashi |
| Soggetto topico |
Geometry, Algebraic
Geometry, Affine |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-4436-70-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Dedication; Bibliography of Masayoshi Miyanishi; CONTENTS; Acyclic curves and group actions on affine toric surfaces; Introduction; 1. Preliminaries; 1.1. Simply connected plane affine curves; 1.2. The automorphism group of the affine plane; 2. Subgroups of de Jonqueres group and stabilizers of plane curves; 2.1. Subgroups of the de Jonqueres group; 2.2. Stabilizers of acyclic plane curves; 3. Acyclic curves on affine toric surfaces; 3.1. Acyclic curves in the smooth locus; 3.2. Acyclic curves through the singular point; 3.3. Acyclic curves as orbit closures
3.4. Reducible acyclic curves on affine toric surfaces4. Automorphism groups of affine toric surfaces; 4.1. Free amalgamated product structure; 4.2. Algebraic groups actions on affine toric surfaces; 5. Acyclic curves and automorphism groups of non-toric quotient surfaces; References; Hirzebruch surfaces and compactifications of C2; 1. Introduction; 2. A proof of Theorem 1.2; 3. A proof of Theorem 1.3; 4. Abhyankar-Moh-Suzuki's theorem; References; Cyclic multiple planes, branched covers of Sn and a result of D. L. Goldsmith; 1. Introduction; 2. Preliminaries; 3. Proof of the Theorem 4. Branched covers of Sn5. Goldsmith's result; References; A1*-fibrations on affine threefolds; Introduction; 1. Preliminaries; 2. A1*-fibration; 3. Homology threefolds with A1-fibrations; 4. Contractible affine threefolds with A1 *-fibrations; References; Acknowledgements; Miyanishi's characterization of singularities appearing on A1-fibrations does not hold in higher dimensions; 1. Introduction; 2. Preliminaries; 3. Proof of Theorem 1.2; 3.1.; 3.2.; 3.2.1.; 3.3.; 3.4.; 3.5.; 3.5.1.; 3.5.2.; 3.6.; 3.6.1.; 3.6.2.; Acknowledgements; References A Galois counterexample to Hilbert's Fourteenth Problem in dimension three with rational coefficients1. Introduction; 2. Invariant field; 3. Kuroda's construction; 4. Proof of Theorem 1.2; Acknowledgments; References; Open algebraic surfaces of logarithmic Kodaira dimension one; 0. Introduction; 1. Preliminary results; 2. Structure of open algebraic surfaces of κ = 1; 3. Logarithmic plurigenera of normal affine surfaces of k = 1; Acknowledgements; References; Some properties of C* in C2; 0. Introduction; 1. Preliminaries; 2. Basic inequality 3. Separation of branches I: The branches are tangent at infinity4. Separation of branches II: The branches separate on the first blowing up; References; Acknowledgements; Abhyankar-Sathaye Embedding Conjecture for a geometric case; 1. Introduction; 2. Preliminaries; 3. Proof of Theorem 1.1; Acknowledgments; References; Some subgroups of the Cremona groups; 1. Introduction; 2. Flattening, linearizability, tori; 3. Subgroups of the rational de Jonquieres groups; 4. Affine subspaces as cross-sections; References; The gonality of singular plane curves II; 1. Introduction; 2. Preliminaries 3. Proof of Theorem 1 |
| Record Nr. | UNINA-9910462823303321 |
| Singapore, : World Scientific Pub. Co., 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Affine algebraic geometry : proceedings of the conference, Osaka, Japan, 3-6 March 2011 / / editors, Kayo Masuda, Kwansei Gakuin University, Japan, Hideo Kojima, Niigata University, Japan, Takashi Kishimoto, Saitama University, Japan
| Affine algebraic geometry : proceedings of the conference, Osaka, Japan, 3-6 March 2011 / / editors, Kayo Masuda, Kwansei Gakuin University, Japan, Hideo Kojima, Niigata University, Japan, Takashi Kishimoto, Saitama University, Japan |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2013 |
| Descrizione fisica | 1 online resource (xx, 330 pages) : illustrations (some color) |
| Disciplina | 516.352 |
| Collana | Gale eBooks |
| Soggetto topico |
Geometry, Algebraic
Geometry, Affine |
| ISBN | 981-4436-70-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Dedication; Bibliography of Masayoshi Miyanishi; CONTENTS; Acyclic curves and group actions on affine toric surfaces; Introduction; 1. Preliminaries; 1.1. Simply connected plane affine curves; 1.2. The automorphism group of the affine plane; 2. Subgroups of de Jonqueres group and stabilizers of plane curves; 2.1. Subgroups of the de Jonqueres group; 2.2. Stabilizers of acyclic plane curves; 3. Acyclic curves on affine toric surfaces; 3.1. Acyclic curves in the smooth locus; 3.2. Acyclic curves through the singular point; 3.3. Acyclic curves as orbit closures
3.4. Reducible acyclic curves on affine toric surfaces4. Automorphism groups of affine toric surfaces; 4.1. Free amalgamated product structure; 4.2. Algebraic groups actions on affine toric surfaces; 5. Acyclic curves and automorphism groups of non-toric quotient surfaces; References; Hirzebruch surfaces and compactifications of C2; 1. Introduction; 2. A proof of Theorem 1.2; 3. A proof of Theorem 1.3; 4. Abhyankar-Moh-Suzuki's theorem; References; Cyclic multiple planes, branched covers of Sn and a result of D. L. Goldsmith; 1. Introduction; 2. Preliminaries; 3. Proof of the Theorem 4. Branched covers of Sn5. Goldsmith's result; References; A1*-fibrations on affine threefolds; Introduction; 1. Preliminaries; 2. A1*-fibration; 3. Homology threefolds with A1-fibrations; 4. Contractible affine threefolds with A1 *-fibrations; References; Acknowledgements; Miyanishi's characterization of singularities appearing on A1-fibrations does not hold in higher dimensions; 1. Introduction; 2. Preliminaries; 3. Proof of Theorem 1.2; 3.1.; 3.2.; 3.2.1.; 3.3.; 3.4.; 3.5.; 3.5.1.; 3.5.2.; 3.6.; 3.6.1.; 3.6.2.; Acknowledgements; References A Galois counterexample to Hilbert's Fourteenth Problem in dimension three with rational coefficients1. Introduction; 2. Invariant field; 3. Kuroda's construction; 4. Proof of Theorem 1.2; Acknowledgments; References; Open algebraic surfaces of logarithmic Kodaira dimension one; 0. Introduction; 1. Preliminary results; 2. Structure of open algebraic surfaces of κ = 1; 3. Logarithmic plurigenera of normal affine surfaces of k = 1; Acknowledgements; References; Some properties of C* in C2; 0. Introduction; 1. Preliminaries; 2. Basic inequality 3. Separation of branches I: The branches are tangent at infinity4. Separation of branches II: The branches separate on the first blowing up; References; Acknowledgements; Abhyankar-Sathaye Embedding Conjecture for a geometric case; 1. Introduction; 2. Preliminaries; 3. Proof of Theorem 1.1; Acknowledgments; References; Some subgroups of the Cremona groups; 1. Introduction; 2. Flattening, linearizability, tori; 3. Subgroups of the rational de Jonquieres groups; 4. Affine subspaces as cross-sections; References; The gonality of singular plane curves II; 1. Introduction; 2. Preliminaries 3. Proof of Theorem 1 |
| Record Nr. | UNINA-9910786874303321 |
| Singapore, : World Scientific Pub. Co., 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Affine algebraic geometry : proceedings of the conference, Osaka, Japan, 3-6 March 2011 / / editors, Kayo Masuda, Kwansei Gakuin University, Japan, Hideo Kojima, Niigata University, Japan, Takashi Kishimoto, Saitama University, Japan
| Affine algebraic geometry : proceedings of the conference, Osaka, Japan, 3-6 March 2011 / / editors, Kayo Masuda, Kwansei Gakuin University, Japan, Hideo Kojima, Niigata University, Japan, Takashi Kishimoto, Saitama University, Japan |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2013 |
| Descrizione fisica | 1 online resource (xx, 330 pages) : illustrations (some color) |
| Disciplina | 516.352 |
| Collana | Gale eBooks |
| Soggetto topico |
Geometry, Algebraic
Geometry, Affine |
| ISBN | 981-4436-70-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Dedication; Bibliography of Masayoshi Miyanishi; CONTENTS; Acyclic curves and group actions on affine toric surfaces; Introduction; 1. Preliminaries; 1.1. Simply connected plane affine curves; 1.2. The automorphism group of the affine plane; 2. Subgroups of de Jonqueres group and stabilizers of plane curves; 2.1. Subgroups of the de Jonqueres group; 2.2. Stabilizers of acyclic plane curves; 3. Acyclic curves on affine toric surfaces; 3.1. Acyclic curves in the smooth locus; 3.2. Acyclic curves through the singular point; 3.3. Acyclic curves as orbit closures
3.4. Reducible acyclic curves on affine toric surfaces4. Automorphism groups of affine toric surfaces; 4.1. Free amalgamated product structure; 4.2. Algebraic groups actions on affine toric surfaces; 5. Acyclic curves and automorphism groups of non-toric quotient surfaces; References; Hirzebruch surfaces and compactifications of C2; 1. Introduction; 2. A proof of Theorem 1.2; 3. A proof of Theorem 1.3; 4. Abhyankar-Moh-Suzuki's theorem; References; Cyclic multiple planes, branched covers of Sn and a result of D. L. Goldsmith; 1. Introduction; 2. Preliminaries; 3. Proof of the Theorem 4. Branched covers of Sn5. Goldsmith's result; References; A1*-fibrations on affine threefolds; Introduction; 1. Preliminaries; 2. A1*-fibration; 3. Homology threefolds with A1-fibrations; 4. Contractible affine threefolds with A1 *-fibrations; References; Acknowledgements; Miyanishi's characterization of singularities appearing on A1-fibrations does not hold in higher dimensions; 1. Introduction; 2. Preliminaries; 3. Proof of Theorem 1.2; 3.1.; 3.2.; 3.2.1.; 3.3.; 3.4.; 3.5.; 3.5.1.; 3.5.2.; 3.6.; 3.6.1.; 3.6.2.; Acknowledgements; References A Galois counterexample to Hilbert's Fourteenth Problem in dimension three with rational coefficients1. Introduction; 2. Invariant field; 3. Kuroda's construction; 4. Proof of Theorem 1.2; Acknowledgments; References; Open algebraic surfaces of logarithmic Kodaira dimension one; 0. Introduction; 1. Preliminary results; 2. Structure of open algebraic surfaces of κ = 1; 3. Logarithmic plurigenera of normal affine surfaces of k = 1; Acknowledgements; References; Some properties of C* in C2; 0. Introduction; 1. Preliminaries; 2. Basic inequality 3. Separation of branches I: The branches are tangent at infinity4. Separation of branches II: The branches separate on the first blowing up; References; Acknowledgements; Abhyankar-Sathaye Embedding Conjecture for a geometric case; 1. Introduction; 2. Preliminaries; 3. Proof of Theorem 1.1; Acknowledgments; References; Some subgroups of the Cremona groups; 1. Introduction; 2. Flattening, linearizability, tori; 3. Subgroups of the rational de Jonquieres groups; 4. Affine subspaces as cross-sections; References; The gonality of singular plane curves II; 1. Introduction; 2. Preliminaries 3. Proof of Theorem 1 |
| Record Nr. | UNINA-9910821761703321 |
| Singapore, : World Scientific Pub. Co., 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Affine algebraic geometry : Special Session on Affine Algebraic Geometry at the First Joint AMS-RSME Meeting, Seville, Spain, June 18-21, 2003 / / Jaime Gutierrez, Vladimir Shpilrain, Jie-Tai Yu, editors
| Affine algebraic geometry : Special Session on Affine Algebraic Geometry at the First Joint AMS-RSME Meeting, Seville, Spain, June 18-21, 2003 / / Jaime Gutierrez, Vladimir Shpilrain, Jie-Tai Yu, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (288 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Geometry, Algebraic
Geometry, Affine |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7959-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Open problems in affine algebraic geometry (collected by G. Freudenburg and P. Russell)""; ""Purely inseparable k-forms of affine algebraic curves""; ""Generic fibrations by A1 and A* over discrete valuation rings""; ""Hesse and the Jacobian Conjecture""; ""Bad field generators""; ""Coordinates in ideals of polynomial algebras""; ""On the uniqueness of C*-actions on affine surfaces""; ""On two recent views of the Jacobian Conjecture""; ""Singularities on normal affine 3-folds containing A1-cylinderlike open subsets""; ""Free c+ -actions on affine threefolds""
""Again x + x2y + z2 + t3 = 0""""Equivariant cancellation for algebraic varieties""; ""Constructing polynomial mappings using non-commutative algebras""; ""On the generic curve of genus 3""; ""Orders of points on elliptic curves""; ""Test polynomials, retracts, and the Jacobian conjecture""; ""The Jacobian Conjecture: ideal membership questions and recent advances""; ""1. The Jacobian Conjecture""; ""2. Ideals Defining the Jacobian Condition""; ""3. Formulas for the Formal Inverse""; ""4. Ideal Membership Results""; ""References"" |
| Record Nr. | UNINA-9910479974303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Affine algebraic geometry : Special Session on Affine Algebraic Geometry at the First Joint AMS-RSME Meeting, Seville, Spain, June 18-21, 2003 / / Jaime Gutierrez, Vladimir Shpilrain, Jie-Tai Yu, editors
| Affine algebraic geometry : Special Session on Affine Algebraic Geometry at the First Joint AMS-RSME Meeting, Seville, Spain, June 18-21, 2003 / / Jaime Gutierrez, Vladimir Shpilrain, Jie-Tai Yu, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (288 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Geometry, Algebraic
Geometry, Affine |
| ISBN | 0-8218-7959-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Open problems in affine algebraic geometry (collected by G. Freudenburg and P. Russell)""; ""Purely inseparable k-forms of affine algebraic curves""; ""Generic fibrations by A1 and A* over discrete valuation rings""; ""Hesse and the Jacobian Conjecture""; ""Bad field generators""; ""Coordinates in ideals of polynomial algebras""; ""On the uniqueness of C*-actions on affine surfaces""; ""On two recent views of the Jacobian Conjecture""; ""Singularities on normal affine 3-folds containing A1-cylinderlike open subsets""; ""Free c+ -actions on affine threefolds""
""Again x + x2y + z2 + t3 = 0""""Equivariant cancellation for algebraic varieties""; ""Constructing polynomial mappings using non-commutative algebras""; ""On the generic curve of genus 3""; ""Orders of points on elliptic curves""; ""Test polynomials, retracts, and the Jacobian conjecture""; ""The Jacobian Conjecture: ideal membership questions and recent advances""; ""1. The Jacobian Conjecture""; ""2. Ideals Defining the Jacobian Condition""; ""3. Formulas for the Formal Inverse""; ""4. Ideal Membership Results""; ""References"" |
| Record Nr. | UNINA-9910788658503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Affine algebraic geometry : Special Session on Affine Algebraic Geometry at the First Joint AMS-RSME Meeting, Seville, Spain, June 18-21, 2003 / / Jaime Gutierrez, Vladimir Shpilrain, Jie-Tai Yu, editors
| Affine algebraic geometry : Special Session on Affine Algebraic Geometry at the First Joint AMS-RSME Meeting, Seville, Spain, June 18-21, 2003 / / Jaime Gutierrez, Vladimir Shpilrain, Jie-Tai Yu, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (288 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Geometry, Algebraic
Geometry, Affine |
| ISBN | 0-8218-7959-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Open problems in affine algebraic geometry (collected by G. Freudenburg and P. Russell)""; ""Purely inseparable k-forms of affine algebraic curves""; ""Generic fibrations by A1 and A* over discrete valuation rings""; ""Hesse and the Jacobian Conjecture""; ""Bad field generators""; ""Coordinates in ideals of polynomial algebras""; ""On the uniqueness of C*-actions on affine surfaces""; ""On two recent views of the Jacobian Conjecture""; ""Singularities on normal affine 3-folds containing A1-cylinderlike open subsets""; ""Free c+ -actions on affine threefolds""
""Again x + x2y + z2 + t3 = 0""""Equivariant cancellation for algebraic varieties""; ""Constructing polynomial mappings using non-commutative algebras""; ""On the generic curve of genus 3""; ""Orders of points on elliptic curves""; ""Test polynomials, retracts, and the Jacobian conjecture""; ""The Jacobian Conjecture: ideal membership questions and recent advances""; ""1. The Jacobian Conjecture""; ""2. Ideals Defining the Jacobian Condition""; ""3. Formulas for the Formal Inverse""; ""4. Ideal Membership Results""; ""References"" |
| Record Nr. | UNINA-9910827557903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Affine and projective geometry [[electronic resource] /] / M.K. Bennett
| Affine and projective geometry [[electronic resource] /] / M.K. Bennett |
| Autore | Bennett M. K (Mary Katherine), <1940-> |
| Pubbl/distr/stampa | New York, : Wiley & Sons, c1995 |
| Descrizione fisica | 1 online resource (251 p.) |
| Disciplina |
516.4
516/.4 |
| Soggetto topico |
Geometry, Affine
Geometry, Projective |
| ISBN |
1-282-25339-5
9786613814043 1-118-03256-X 1-118-03082-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Affine and Projective Geometry; Contents; List of Examples; Special Symbols; Preface; 1. Introduction; 1.1. Methods of Proof; 1.2. Some Greek Geometers; 1.3. Cartesian Geometry; 1.4. Hilert's Axioms; 1.5. Finite Coordinate Planes; 1.6. The Theorems of Pappus and Desargues; Suggested Reading; 2. Affine Planes; 2.1. Definitions and Examples; 2.2. Some Combinatorial Results; 2.3. Finite Planes; 2.4. Orthogonal Latin Squares; 2.5. Affine Planes and Latin Squares; 2.6. Projective Planes; Suggested Reading; 3. Desarguesian Affine Planes; 3.1. The Fundamental Theorem; 3.2. Addition on Lines
3.3. Desargues' Theorem3.4. Properties of Addition in Affine Planes; 3.5. The Converse of Desargues' Theorem; 3.6. Multiplication on Lines of an Affine Plane; 3.7. Pappus' Theorem and Further Properties; Suggested Reading; 4. Introducing Coordinates; 4.1. Division Rings; 4.2. Isomorphism; 4.3. Coordinate Affine Planes; 4.4. Coordinatizing Points; 4.5. Linear Equations; 4.6 The Theorem of Pappus; Suggested Reading; 5. Coordinate Projective Planes; 5.1. Projective Points and Homogeneous Equations in D3; 5.2. Coordinate Projective Planes; 5.3. Coordinatization of Desarguesian Projective Planes 5.4. Projective Conies5.5. Pascal's Theorem; 5.6. Non-Desarguesian Coordinate Planes; 5.7. Some Examples of Veblen-Wedderburn Systems; 5.8. A Projective Plane of Order; Suggested Reading; 6. Affine Space; 6.1. Synthetic Affine Space; 6.2. Flats in Affine Space; 6.3. Desargues' Theorem; 6.4. Coordinatization of Affine Space; Suggested Reading; 7. Projective Space; 7.1 Synthetic Projective Space; 7.2. Planes in Projective Space; 7.3. Dimension; 7.4. Consequences of Desargues' Theorem; 7.5. Coordinates in Projective Space; Suggested Reading; 8. Lattices of Flats; 8.1. Closure Spaces 8.2. Some Properties of Closure Spaces8.3. Projective Closure Spaces; 8.4. Introduction to Lattices; 8.5. Bounded Lattices: Duality; 8.6. Distributive, Modular, and Atomic Lattices; 8.7. Complete Lattices and Closure Spaces, Suggested Reading; Suggested Reading; 9. CoIIineations; 9.1. General CoIIineations; 9.2. Automorphisms of Planes; 9.3. Perspectivities of Projective Spaces; 9.4. The Fundamental Theorem of Projective Geometry; 9.5. Projectivities and Linear Transformations; 9.6. CoIIineations and Commutativity; Suggested Reading; Appendix A. Algebraic Background; A.l. Fields A.2. The Integers Mod nA.3. Finite Fields; Suggested Reading; Appendix B. Hilbert's Example of a Noncommutative Division Ring; Suggested Reading; Index |
| Record Nr. | UNINA-9910139339203321 |
Bennett M. K (Mary Katherine), <1940->
|
||
| New York, : Wiley & Sons, c1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Affine insertion and Pieri rules for the affine Grassmannian / / Thoman Lam, [and others]
| Affine insertion and Pieri rules for the affine Grassmannian / / Thoman Lam, [and others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina | 516/.4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry, Affine
Combinatorial analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0591-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Schubert Bases of Gr and Symmetric Functions""; ""1.1. Symmetric functions""; ""1.2. Schubert bases of Gr""; ""1.3. Schubert basis of the affine flag variety""; ""Chapter 2. Strong Tableaux""; ""2.1. n as a Coxeter group""; ""2.2. Fixing a maximal parabolic subgroup""; ""2.3. Strong order and strong tableaux""; ""2.4. Strong Schur functions""; ""Chapter 3. Weak Tableaux""; ""3.1. Cyclically decreasing permutations and weak tableaux""; ""3.2. Weak Schur functions""; ""3.3. Properties of weak strips""
""3.4. Commutation of weak strips and strong covers""""Chapter 4. Affine Insertion and Affine Pieri""; ""4.1. The local rule u,v""; ""4.2. The affine insertion bijection u,v""; ""4.3. Pieri rules for the affine Grassmannian""; ""4.4. Conjectured Pieri rule for the affine flag variety""; ""4.5. Geometric interpretation of strong Schur functions""; ""Chapter 5. The Local Rule u,v""; ""5.1. Internal insertion at a marked strong cover""; ""5.2. Definition of u,v""; ""5.3. Proofs for the local rule""; ""Chapter 6. Reverse Local Rule""; ""6.1. Reverse insertion at a cover"" ""6.2. The reverse local rule""""6.3. Proofs for the reverse insertion""; ""Chapter 7. Bijectivity""; ""7.1. External insertion""; ""7.2. Case A (commuting case)""; ""7.3. Case B (bumping case)""; ""7.4. Case C (replacement bump)""; ""Chapter 8. Grassmannian Elements, Cores, and Bounded Partitions""; ""8.1. Translation elements""; ""8.2. The action of n on partitions""; ""8.3. Cores and the coroot lattice""; ""8.4. Grassmannian elements and the coroot lattice""; ""8.5. Bijection from cores to bounded partitions""; ""8.6. k-conjugate""; ""8.7. From Grassmannian elements to bounded partitions"" ""Chapter 9. Strong and Weak Tableaux Using Cores""""9.1. Weak tableaux on cores are k-tableaux""; ""9.2. Strong tableaux on cores""; ""9.3. Monomial expansion of t-dependent k-Schur functions""; ""9.4. Enumeration of standard strong and weak tableaux""; ""Chapter 10. Affine Insertion in Terms of Cores""; ""10.1. Internal insertion for cores""; ""10.2. External insertion for cores (Case X)""; ""10.3. An example""; ""10.4. Standard case""; ""10.5. Coincidence with RSK as n""; ""10.6. The bijection for n = 3 and m = 4""; ""Bibliography"" |
| Record Nr. | UNINA-9910480248803321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Affine insertion and Pieri rules for the affine Grassmannian / / Thoman Lam, [and others]
| Affine insertion and Pieri rules for the affine Grassmannian / / Thoman Lam, [and others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina | 516/.4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry, Affine
Combinatorial analysis |
| ISBN | 1-4704-0591-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Schubert Bases of Gr and Symmetric Functions""; ""1.1. Symmetric functions""; ""1.2. Schubert bases of Gr""; ""1.3. Schubert basis of the affine flag variety""; ""Chapter 2. Strong Tableaux""; ""2.1. n as a Coxeter group""; ""2.2. Fixing a maximal parabolic subgroup""; ""2.3. Strong order and strong tableaux""; ""2.4. Strong Schur functions""; ""Chapter 3. Weak Tableaux""; ""3.1. Cyclically decreasing permutations and weak tableaux""; ""3.2. Weak Schur functions""; ""3.3. Properties of weak strips""
""3.4. Commutation of weak strips and strong covers""""Chapter 4. Affine Insertion and Affine Pieri""; ""4.1. The local rule u,v""; ""4.2. The affine insertion bijection u,v""; ""4.3. Pieri rules for the affine Grassmannian""; ""4.4. Conjectured Pieri rule for the affine flag variety""; ""4.5. Geometric interpretation of strong Schur functions""; ""Chapter 5. The Local Rule u,v""; ""5.1. Internal insertion at a marked strong cover""; ""5.2. Definition of u,v""; ""5.3. Proofs for the local rule""; ""Chapter 6. Reverse Local Rule""; ""6.1. Reverse insertion at a cover"" ""6.2. The reverse local rule""""6.3. Proofs for the reverse insertion""; ""Chapter 7. Bijectivity""; ""7.1. External insertion""; ""7.2. Case A (commuting case)""; ""7.3. Case B (bumping case)""; ""7.4. Case C (replacement bump)""; ""Chapter 8. Grassmannian Elements, Cores, and Bounded Partitions""; ""8.1. Translation elements""; ""8.2. The action of n on partitions""; ""8.3. Cores and the coroot lattice""; ""8.4. Grassmannian elements and the coroot lattice""; ""8.5. Bijection from cores to bounded partitions""; ""8.6. k-conjugate""; ""8.7. From Grassmannian elements to bounded partitions"" ""Chapter 9. Strong and Weak Tableaux Using Cores""""9.1. Weak tableaux on cores are k-tableaux""; ""9.2. Strong tableaux on cores""; ""9.3. Monomial expansion of t-dependent k-Schur functions""; ""9.4. Enumeration of standard strong and weak tableaux""; ""Chapter 10. Affine Insertion in Terms of Cores""; ""10.1. Internal insertion for cores""; ""10.2. External insertion for cores (Case X)""; ""10.3. An example""; ""10.4. Standard case""; ""10.5. Coincidence with RSK as n""; ""10.6. The bijection for n = 3 and m = 4""; ""Bibliography"" |
| Record Nr. | UNINA-9910788859603321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Affine insertion and Pieri rules for the affine Grassmannian / / Thoman Lam, [and others]
| Affine insertion and Pieri rules for the affine Grassmannian / / Thoman Lam, [and others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina | 516/.4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry, Affine
Combinatorial analysis |
| ISBN | 1-4704-0591-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Schubert Bases of Gr and Symmetric Functions""; ""1.1. Symmetric functions""; ""1.2. Schubert bases of Gr""; ""1.3. Schubert basis of the affine flag variety""; ""Chapter 2. Strong Tableaux""; ""2.1. n as a Coxeter group""; ""2.2. Fixing a maximal parabolic subgroup""; ""2.3. Strong order and strong tableaux""; ""2.4. Strong Schur functions""; ""Chapter 3. Weak Tableaux""; ""3.1. Cyclically decreasing permutations and weak tableaux""; ""3.2. Weak Schur functions""; ""3.3. Properties of weak strips""
""3.4. Commutation of weak strips and strong covers""""Chapter 4. Affine Insertion and Affine Pieri""; ""4.1. The local rule u,v""; ""4.2. The affine insertion bijection u,v""; ""4.3. Pieri rules for the affine Grassmannian""; ""4.4. Conjectured Pieri rule for the affine flag variety""; ""4.5. Geometric interpretation of strong Schur functions""; ""Chapter 5. The Local Rule u,v""; ""5.1. Internal insertion at a marked strong cover""; ""5.2. Definition of u,v""; ""5.3. Proofs for the local rule""; ""Chapter 6. Reverse Local Rule""; ""6.1. Reverse insertion at a cover"" ""6.2. The reverse local rule""""6.3. Proofs for the reverse insertion""; ""Chapter 7. Bijectivity""; ""7.1. External insertion""; ""7.2. Case A (commuting case)""; ""7.3. Case B (bumping case)""; ""7.4. Case C (replacement bump)""; ""Chapter 8. Grassmannian Elements, Cores, and Bounded Partitions""; ""8.1. Translation elements""; ""8.2. The action of n on partitions""; ""8.3. Cores and the coroot lattice""; ""8.4. Grassmannian elements and the coroot lattice""; ""8.5. Bijection from cores to bounded partitions""; ""8.6. k-conjugate""; ""8.7. From Grassmannian elements to bounded partitions"" ""Chapter 9. Strong and Weak Tableaux Using Cores""""9.1. Weak tableaux on cores are k-tableaux""; ""9.2. Strong tableaux on cores""; ""9.3. Monomial expansion of t-dependent k-Schur functions""; ""9.4. Enumeration of standard strong and weak tableaux""; ""Chapter 10. Affine Insertion in Terms of Cores""; ""10.1. Internal insertion for cores""; ""10.2. External insertion for cores (Case X)""; ""10.3. An example""; ""10.4. Standard case""; ""10.5. Coincidence with RSK as n""; ""10.6. The bijection for n = 3 and m = 4""; ""Bibliography"" |
| Record Nr. | UNINA-9910812402203321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
