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 |
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 |
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 space fibrations / / Rajendra Vasant Gurjar, Kayo Masuda, Masayoshi Miyanishi |
Autore | Gurjar R. V. <1950-> |
Pubbl/distr/stampa | Berlin, Germany ; ; Boston, Massachusetts : , : De Gruyter, , [2021] |
Descrizione fisica | 1 online resource (XII, 348 p.) |
Disciplina | 516.4 |
Collana | De Gruyter Studies in Mathematics |
Soggetto topico |
Fiber spaces (Mathematics)
Affine algebraic groups |
ISBN |
3-11-057742-9
3-11-057756-9 |
Classificazione | SK 240 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- 1 Preliminaries -- 2 Algebraic surfaces with fibrations -- 3 Fibrations in higher dimension -- Bibliography -- Index |
Record Nr. | UNINA-9910554486203321 |
Gurjar R. V. <1950-> | ||
Berlin, Germany ; ; Boston, Massachusetts : , : De Gruyter, , [2021] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|