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Algebraic geometry and commutative algebra in honor of Masayoshi Nagata . Volume I / / edited by Hiroaki Hijikata [and six others]
Algebraic geometry and commutative algebra in honor of Masayoshi Nagata . Volume I / / edited by Hiroaki Hijikata [and six others]
Pubbl/distr/stampa Tokyo : , : Academic Press, , [1988]
Descrizione fisica 1 online resource (417 p.)
Disciplina 516.35
Soggetto topico Geometry, Algebraic - Data processing
ISBN 1-4832-6518-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; Algebraic Geometry and Commutative Algebra in Honor of Masayoshi NAGATA; Copyright Page; Foreword; Table of Contents of Volume II; Determinantal Loci and Enumerative Combinatorics of Young Tableaux; 1. Introduction; First Chapter. YOUNG TABLEAUX AND DETERMINANTAL POLYNOMIALS IN BINOMIAL COEFFICIENTS; 2. Tableaux and monomials; 3. Determinantal polynomials of any width; 4. Determinantal polynomials of width two; Second Chapter.ENUMERATION OF YOUNG TABLEAUX; 5. Counting tableaux of any width; 6. Bitableaux; 7. Counting bitableaux; 8. Counting monomials; 9. Bitableaux and monomials
Third Chapter.UNIVERSAL DETERMINANTAL IDENTITY10. Preamble; 11. The mixed size case; 12. The cardinality condition; 13. The maximal size case; 14. The basic case; 15. Laplace development; 16. The full depth case; 17. Deduction of the full depth case; 18. The straightening law; 19. Problem; Fourth Chapter.APPLICATIONS TO IDEAL THEORY; 20. Determinantal loci; 21. Vector spaces and homogeneous rings; 22. Standard basis; 23. Second fundamental theorem of invariant theory; 24. Generalized second fundamental theorem of invariant theory; References
6. Moduli7. Explanations; References; On Rings of Invariants of Finite Linear Groups; 1. Fundamental groups; 2. Proof of Theorem A; 3. Additional results; References; Invariant Differentials; 1. Introduction; 2. Use of the étale slice theorem; 3. The ñnite group case; References; Classification of Polarized Manifoldsof Sectional Genus Two; Introduction; Notation, Convention and Terminology; 1. Classification, first step; 2. The case K ~ (3 - n)L; 3. The case of a hyperquadric fíbration over a curve; 4. Polarized surfaces of sectional genus two; Appendix; References
12. Proof of Theorem 1
Record Nr. UNINA-9910786629203321
Tokyo : , : Academic Press, , [1988]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Algebraic geometry and commutative algebra in honor of Masayoshi Nagata . Volume I / / edited by Hiroaki Hijikata [and six others]
Algebraic geometry and commutative algebra in honor of Masayoshi Nagata . Volume I / / edited by Hiroaki Hijikata [and six others]
Pubbl/distr/stampa Tokyo : , : Academic Press, , [1988]
Descrizione fisica 1 online resource (417 p.)
Disciplina 516.35
Soggetto topico Geometry, Algebraic - Data processing
ISBN 1-4832-6518-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; Algebraic Geometry and Commutative Algebra in Honor of Masayoshi NAGATA; Copyright Page; Foreword; Table of Contents of Volume II; Determinantal Loci and Enumerative Combinatorics of Young Tableaux; 1. Introduction; First Chapter. YOUNG TABLEAUX AND DETERMINANTAL POLYNOMIALS IN BINOMIAL COEFFICIENTS; 2. Tableaux and monomials; 3. Determinantal polynomials of any width; 4. Determinantal polynomials of width two; Second Chapter.ENUMERATION OF YOUNG TABLEAUX; 5. Counting tableaux of any width; 6. Bitableaux; 7. Counting bitableaux; 8. Counting monomials; 9. Bitableaux and monomials
Third Chapter.UNIVERSAL DETERMINANTAL IDENTITY10. Preamble; 11. The mixed size case; 12. The cardinality condition; 13. The maximal size case; 14. The basic case; 15. Laplace development; 16. The full depth case; 17. Deduction of the full depth case; 18. The straightening law; 19. Problem; Fourth Chapter.APPLICATIONS TO IDEAL THEORY; 20. Determinantal loci; 21. Vector spaces and homogeneous rings; 22. Standard basis; 23. Second fundamental theorem of invariant theory; 24. Generalized second fundamental theorem of invariant theory; References
6. Moduli7. Explanations; References; On Rings of Invariants of Finite Linear Groups; 1. Fundamental groups; 2. Proof of Theorem A; 3. Additional results; References; Invariant Differentials; 1. Introduction; 2. Use of the étale slice theorem; 3. The ñnite group case; References; Classification of Polarized Manifoldsof Sectional Genus Two; Introduction; Notation, Convention and Terminology; 1. Classification, first step; 2. The case K ~ (3 - n)L; 3. The case of a hyperquadric fíbration over a curve; 4. Polarized surfaces of sectional genus two; Appendix; References
12. Proof of Theorem 1
Record Nr. UNINA-9910827876403321
Tokyo : , : Academic Press, , [1988]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Computational commutative and non-commutative algebraic geometry [[electronic resource] /] / edited by Svetlana Cojocaru, Gerhard Pfister, Victor Ufnarovski
Computational commutative and non-commutative algebraic geometry [[electronic resource] /] / edited by Svetlana Cojocaru, Gerhard Pfister, Victor Ufnarovski
Pubbl/distr/stampa Amsterdam ; ; Oxford, : IOS Press, 2005
Descrizione fisica 1 online resource (336 p.)
Disciplina 516.35
Altri autori (Persone) CojocaruSvetlana
PfisterGerhard <1947->
UfnarovskiVictor
Collana NATO science series. Series III, Computer and systems sciences
Soggetto topico Geometry, Algebraic - Data processing
Geometry - Data processing
Soggetto genere / forma Electronic books.
ISBN 6610243425
1-280-24342-2
9786610243426
1-4294-0197-4
1-60750-112-0
600-00-0371-4
1-60129-093-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Title page; Preface; Contents; Noncommutative Algebraic Geometry and Algebra; The Structure of Simp Computing the Integral Closure of an Ideal Using its Rees AlgebraModular Strata of Deformation Functors; Algebraic Dependence of Polynomials After O. Perron and Some Applications; A Remark on MCM-modules of Rank One Over a Smooth Plane Cubic; Computer Algebra; Problems in Interaction with the Computer Algebra System BERGMAN; Involutive Algorithms for Computing Grobner Bases; Idealization of Modules in Computer Algebra; Algorithmic Problems in SAGBI Basis Calculations; Topology and Differential Equations; On Group Topologies on an Abelian Group Preceding One Another
Commutative and Non-Commutative Algebras in the Study of Differential EquationsProjective Planes and Quasigroups; About the Description of All Projective Planes of the Prime Power Order; On Simple n-ary Medial Quasigroups; Author Index
Record Nr. UNINA-9910449783003321
Amsterdam ; ; Oxford, : IOS Press, 2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Computational commutative and non-commutative algebraic geometry [[electronic resource] /] / edited by Svetlana Cojocaru, Gerhard Pfister, Victor Ufnarovski
Computational commutative and non-commutative algebraic geometry [[electronic resource] /] / edited by Svetlana Cojocaru, Gerhard Pfister, Victor Ufnarovski
Pubbl/distr/stampa Amsterdam ; ; Oxford, : IOS Press, 2005
Descrizione fisica 1 online resource (336 p.)
Disciplina 516.35
Altri autori (Persone) CojocaruSvetlana
PfisterGerhard <1947->
UfnarovskiVictor
Collana NATO science series. Series III, Computer and systems sciences
Soggetto topico Geometry, Algebraic - Data processing
Geometry - Data processing
ISBN 6610243425
1-280-24342-2
9786610243426
1-4294-0197-4
1-60750-112-0
600-00-0371-4
1-60129-093-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Title page; Preface; Contents; Noncommutative Algebraic Geometry and Algebra; The Structure of Simp Computing the Integral Closure of an Ideal Using its Rees AlgebraModular Strata of Deformation Functors; Algebraic Dependence of Polynomials After O. Perron and Some Applications; A Remark on MCM-modules of Rank One Over a Smooth Plane Cubic; Computer Algebra; Problems in Interaction with the Computer Algebra System BERGMAN; Involutive Algorithms for Computing Grobner Bases; Idealization of Modules in Computer Algebra; Algorithmic Problems in SAGBI Basis Calculations; Topology and Differential Equations; On Group Topologies on an Abelian Group Preceding One Another
Commutative and Non-Commutative Algebras in the Study of Differential EquationsProjective Planes and Quasigroups; About the Description of All Projective Planes of the Prime Power Order; On Simple n-ary Medial Quasigroups; Author Index
Record Nr. UNINA-9910783420403321
Amsterdam ; ; Oxford, : IOS Press, 2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
A first course in computational algebraic geometry / / Wolfram Decker and Gerhard Pfister ; with pictures by Oliver Labs [[electronic resource]]
A first course in computational algebraic geometry / / Wolfram Decker and Gerhard Pfister ; with pictures by Oliver Labs [[electronic resource]]
Autore Decker W.
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 2013
Descrizione fisica 1 online resource (viii, 118 pages) : digital, PDF file(s)
Disciplina 516.3/5
Collana AIMS library series
Soggetto topico Geometry, Algebraic - Data processing
ISBN 1-107-23864-1
1-139-56576-1
1-107-25588-0
1-107-30195-5
1-107-30704-X
1-107-31259-0
1-299-00635-3
1-107-31479-8
1-107-30924-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Contents; Preface; Prologue: General Remarks on Computer Algebra Systems; 1 The Geometry-Algebra Dictionary; 1.1 Affine Algebraic Geometry; 1.1.1 Ideals in Polynomial Rings; 1.1.2 Affine Algebraic Sets; 1.1.3 Hilbert's Nullstellensatz; 1.1.4 Irreducible Algebraic Sets; 1.1.5 Removing Algebraic Sets; 1.1.6 Polynomial Maps; 1.1.7 The Geometry of Elimination; 1.1.8 Noether Normalization and Dimension; 1.1.9 Local Studies; 1.2 Projective Algebraic Geometry; 1.2.1 The Projective Space; 1.2.2 Projective Algebraic Sets; 1.2.3 Affine Charts and the Projective Closure
1.2.4 The Hilbert Polynomial2 Computing; 2.1 Standard Bases and Singular; 2.2 Applications; 2.2.1 Ideal Membership; 2.2.2 Elimination; 2.2.3 Radical Membership; 2.2.4 Ideal Intersections; 2.2.5 Ideal Quotients; 2.2.6 Kernel of a Ring Map; 2.2.7 Integrality Criterion; 2.2.8 Noether Normalization; 2.2.9 Subalgebra Membership; 2.2.10 Homogenization; 2.3 Dimension and the Hilbert Function; 2.4 Primary Decomposition and Radicals; 2.5 Buchberger's Algorithm and Field Extensions; 3 Sudoku; 4 A Problem in Group Theory Solved by Computer Algebra; 4.1 Finite Groups and Thompson's Theorem
4.2 Characterization of Finite Solvable GroupsBibliography; Index
Record Nr. UNINA-9910462590303321
Decker W.  
Cambridge : , : Cambridge University Press, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
A first course in computational algebraic geometry / / Wolfram Decker and Gerhard Pfister ; with pictures by Oliver Labs [[electronic resource]]
A first course in computational algebraic geometry / / Wolfram Decker and Gerhard Pfister ; with pictures by Oliver Labs [[electronic resource]]
Autore Decker W.
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 2013
Descrizione fisica 1 online resource (viii, 118 pages) : digital, PDF file(s)
Disciplina 516.3/5
Collana AIMS library series
Soggetto topico Geometry, Algebraic - Data processing
ISBN 1-107-23864-1
1-139-56576-1
1-107-25588-0
1-107-30195-5
1-107-30704-X
1-107-31259-0
1-299-00635-3
1-107-31479-8
1-107-30924-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Contents; Preface; Prologue: General Remarks on Computer Algebra Systems; 1 The Geometry-Algebra Dictionary; 1.1 Affine Algebraic Geometry; 1.1.1 Ideals in Polynomial Rings; 1.1.2 Affine Algebraic Sets; 1.1.3 Hilbert's Nullstellensatz; 1.1.4 Irreducible Algebraic Sets; 1.1.5 Removing Algebraic Sets; 1.1.6 Polynomial Maps; 1.1.7 The Geometry of Elimination; 1.1.8 Noether Normalization and Dimension; 1.1.9 Local Studies; 1.2 Projective Algebraic Geometry; 1.2.1 The Projective Space; 1.2.2 Projective Algebraic Sets; 1.2.3 Affine Charts and the Projective Closure
1.2.4 The Hilbert Polynomial2 Computing; 2.1 Standard Bases and Singular; 2.2 Applications; 2.2.1 Ideal Membership; 2.2.2 Elimination; 2.2.3 Radical Membership; 2.2.4 Ideal Intersections; 2.2.5 Ideal Quotients; 2.2.6 Kernel of a Ring Map; 2.2.7 Integrality Criterion; 2.2.8 Noether Normalization; 2.2.9 Subalgebra Membership; 2.2.10 Homogenization; 2.3 Dimension and the Hilbert Function; 2.4 Primary Decomposition and Radicals; 2.5 Buchberger's Algorithm and Field Extensions; 3 Sudoku; 4 A Problem in Group Theory Solved by Computer Algebra; 4.1 Finite Groups and Thompson's Theorem
4.2 Characterization of Finite Solvable GroupsBibliography; Index
Record Nr. UNINA-9910786041303321
Decker W.  
Cambridge : , : Cambridge University Press, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
A first course in computational algebraic geometry / / Wolfram Decker and Gerhard Pfister ; with pictures by Oliver Labs [[electronic resource]]
A first course in computational algebraic geometry / / Wolfram Decker and Gerhard Pfister ; with pictures by Oliver Labs [[electronic resource]]
Autore Decker W.
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 2013
Descrizione fisica 1 online resource (viii, 118 pages) : digital, PDF file(s)
Disciplina 516.3/5
Collana AIMS library series
Soggetto topico Geometry, Algebraic - Data processing
ISBN 1-107-23864-1
1-139-56576-1
1-107-25588-0
1-107-30195-5
1-107-30704-X
1-107-31259-0
1-299-00635-3
1-107-31479-8
1-107-30924-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Contents; Preface; Prologue: General Remarks on Computer Algebra Systems; 1 The Geometry-Algebra Dictionary; 1.1 Affine Algebraic Geometry; 1.1.1 Ideals in Polynomial Rings; 1.1.2 Affine Algebraic Sets; 1.1.3 Hilbert's Nullstellensatz; 1.1.4 Irreducible Algebraic Sets; 1.1.5 Removing Algebraic Sets; 1.1.6 Polynomial Maps; 1.1.7 The Geometry of Elimination; 1.1.8 Noether Normalization and Dimension; 1.1.9 Local Studies; 1.2 Projective Algebraic Geometry; 1.2.1 The Projective Space; 1.2.2 Projective Algebraic Sets; 1.2.3 Affine Charts and the Projective Closure
1.2.4 The Hilbert Polynomial2 Computing; 2.1 Standard Bases and Singular; 2.2 Applications; 2.2.1 Ideal Membership; 2.2.2 Elimination; 2.2.3 Radical Membership; 2.2.4 Ideal Intersections; 2.2.5 Ideal Quotients; 2.2.6 Kernel of a Ring Map; 2.2.7 Integrality Criterion; 2.2.8 Noether Normalization; 2.2.9 Subalgebra Membership; 2.2.10 Homogenization; 2.3 Dimension and the Hilbert Function; 2.4 Primary Decomposition and Radicals; 2.5 Buchberger's Algorithm and Field Extensions; 3 Sudoku; 4 A Problem in Group Theory Solved by Computer Algebra; 4.1 Finite Groups and Thompson's Theorem
4.2 Characterization of Finite Solvable GroupsBibliography; Index
Record Nr. UNINA-9910819249503321
Decker W.  
Cambridge : , : Cambridge University Press, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui