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Existence of the sectional capacity / / Robert Rumely, Chi Fong Lau, Robert Varley
| Existence of the sectional capacity / / Robert Rumely, Chi Fong Lau, Robert Varley |
| Autore | Rumely Robert <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
| Descrizione fisica | 1 online resource (145 p.) |
| Disciplina |
510 s
516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Arakelov theory
Capacity theory (Mathematics) |
| ISBN | 1-4704-0281-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Â1. The Standard Hypotheses""; ""Â2. The Definition of the Sectional Capacity""; ""Â3. Reductions""; ""Â4. Existence of the Monic Basis for Very Ample Line Bundles""; ""Â5. Zaharjuta's Construction""; ""Â6. Local Capacities""; ""Â7. Existence of the Global Sectional Capacity""; ""Â8. A Positivity Criterion""; ""Â9. Base Change""; ""Â10. Pullbacks""; ""Â11. Products""; ""Â12. Continuity, Part I""; ""Â13. Continuity, Part II""; ""Â14. Local Capacities of Sets""; ""Â15. Approximation Theorems""; ""Appendix A. Ample Divisors and Cohomology""
""Appendix B. A Lifting Lemma""""Appendix C. Bounds for Volumes of Convex Bodies""; ""Bibliography"" |
| Record Nr. | UNINA-9910808070003321 |
Rumely Robert <1952->
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| Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Families of curves in P3 and Zeuthen's problem / / Robin Hartshorne
| Families of curves in P3 and Zeuthen's problem / / Robin Hartshorne |
| Autore | Hartshorne Robin |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (96 p.) |
| Disciplina | 516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Curves, Algebraic
Surfaces, Cubic Picard groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0206-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Â0. Introduction""; ""Â1. Preliminaries""; ""Â2. Families of Quadric Surfaces""; ""Â3. Degenerations of Cubic Surfaces""; ""Â4. Standard Form for Certain Deformations""; ""Â5. Local Picard Group of Some Normal Hypersurface Singularities""; ""Â6. Solution of Zeuthen's Problem"" |
| Record Nr. | UNINA-9910480351003321 |
|
Hartshorne Robin
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Families of curves in P3 and Zeuthen's problem / / Robin Hartshorne
| Families of curves in P3 and Zeuthen's problem / / Robin Hartshorne |
| Autore | Hartshorne Robin |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (96 p.) |
| Disciplina | 516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Curves, Algebraic
Surfaces, Cubic Picard groups |
| ISBN | 1-4704-0206-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Â0. Introduction""; ""Â1. Preliminaries""; ""Â2. Families of Quadric Surfaces""; ""Â3. Degenerations of Cubic Surfaces""; ""Â4. Standard Form for Certain Deformations""; ""Â5. Local Picard Group of Some Normal Hypersurface Singularities""; ""Â6. Solution of Zeuthen's Problem"" |
| Record Nr. | UNINA-9910788733403321 |
|
Hartshorne Robin
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Families of curves in P3 and Zeuthen's problem / / Robin Hartshorne
| Families of curves in P3 and Zeuthen's problem / / Robin Hartshorne |
| Autore | Hartshorne Robin |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (96 p.) |
| Disciplina | 516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Curves, Algebraic
Surfaces, Cubic Picard groups |
| ISBN | 1-4704-0206-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Â0. Introduction""; ""Â1. Preliminaries""; ""Â2. Families of Quadric Surfaces""; ""Â3. Degenerations of Cubic Surfaces""; ""Â4. Standard Form for Certain Deformations""; ""Â5. Local Picard Group of Some Normal Hypersurface Singularities""; ""Â6. Solution of Zeuthen's Problem"" |
| Record Nr. | UNINA-9910827858603321 |
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Hartshorne Robin
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||
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Filtrations on the homology of algebraic varieties / / Eric M. Friedlander, Barry Mazur
| Filtrations on the homology of algebraic varieties / / Eric M. Friedlander, Barry Mazur |
| Autore | Friedlander E. M (Eric M.), <1944-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (126 p.) |
| Disciplina | 516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Algebraic cycles
Filters (Mathematics) Homology theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0108-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Introduction""; ""Chapter 1. Questions and Speculations""; ""1.1. The nitrations""; ""1.2. Dependence on the projective imbedding""; ""1.3. The ""Strong Lefschetz"" mapping in Lawson Homology""; ""1.4. Equivalence relations on algebraic cycles""; ""1.5. Stabilized homotopy of moduli spaces""; ""1.6. Joins and Resultants""; ""Chapter 2. Abelian monoid varieties""; ""2.1. Monoids""; ""2.2. Limits""; ""2.3. Directed systems attached to an abelian monoid""; ""2.4. Limits of covariant functors""; ""2.5. Bi-algebras""; ""2.6. Abelian group completions""
""2.7. Constructing limH*(m) from H*(M)""""2.8. Base points""; ""2.9. Primitive elements""; ""2.10. Mixed Hodge Structure""; ""Chapter 3. Chow varieties and Lawson homology""; ""3.1. The Chow variety""; ""3.2. Functoriality and Chow varieties""; ""3.3. Functoriality: algebraic context""; ""3.4. The additive monoid""; ""3.5. Lawson homology""; ""Chapter 4. Correspondences and Lawson homology""; ""4.1. Correspondence homomorphisms""; ""4.2. The Chow correspondence homomorphism""; ""4.3. The Chow correspondence homomorphism and Lawson homology"" ""Chapter 5. ""Multiplication"" of algebraic cycles""""5.1. The multiplicative structure on Chow varieties""; ""5.2. Bilinear pairings on group completions""; ""5.3. The multiplicative structure on Lawson homology""; ""5.4. The ring structure on Lawson homology of P[sup(0)]""; ""Chapter 6. Operations in Lawson homology""; ""6.1. The structure of the algebra A""; ""6.2. A ""geometric"" description of s""; ""6.3. A homological description of iterates of s""; ""6.4. The connection between s and the correspondence homomorphism"" ""6.5. The operator Ï?[sub(j)]and the Chow correspondence homomorphism""""6.6. The operator h""; ""Chapter 7. Filtrations""; ""7.1. The Hodge Filtration""; ""7.2. The Geometric filtration""; ""7.3. The Topological filtration""; ""7.4. The Correspondence subspace""; ""7.5. Equality of correspondence and topological filtrations""; ""Appendix A. Mixed Hodge Structures, Homology, and Cycle classes""; ""A.1. Mixed Hodge Structure on homology and cohomology""; ""A.2. Homology and cohomology of smooth varieties""; ""A.3. Cycle classes in homology"" ""A.4. Change of cycle class under l.c.i. morphisms""""A.5. Relation to birational change of correspondence""; ""A.6. Correspondences and suspensions""; ""Appendix B. Trace maps and the Dold-Thom Theorem""; ""B.1. The inverse image mapping on homology attached to a ""weighted map""""; ""B.2. The Dold-Thom theorem""; ""Appendix Q. On the group completion of a simplicial monoid""; ""Q.1. Rings of fractions""; ""Q.2. Grading of RS-[sup(1)]""; ""Q.3. The Eilenberg-Moore spectral sequence""; ""Q.4. A comparison lemma""; ""Q.5. Good simplicial monoids""; ""Q.6. Homology of the group completion"" ""Q.7. Applications to K-theory"" |
| Record Nr. | UNINA-9910480557303321 |
|
Friedlander E. M (Eric M.), <1944->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Filtrations on the homology of algebraic varieties / / Eric M. Friedlander, Barry Mazur
| Filtrations on the homology of algebraic varieties / / Eric M. Friedlander, Barry Mazur |
| Autore | Friedlander E. M (Eric M.), <1944-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (126 p.) |
| Disciplina | 516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Algebraic cycles
Filters (Mathematics) Homology theory |
| ISBN | 1-4704-0108-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Introduction""; ""Chapter 1. Questions and Speculations""; ""1.1. The nitrations""; ""1.2. Dependence on the projective imbedding""; ""1.3. The ""Strong Lefschetz"" mapping in Lawson Homology""; ""1.4. Equivalence relations on algebraic cycles""; ""1.5. Stabilized homotopy of moduli spaces""; ""1.6. Joins and Resultants""; ""Chapter 2. Abelian monoid varieties""; ""2.1. Monoids""; ""2.2. Limits""; ""2.3. Directed systems attached to an abelian monoid""; ""2.4. Limits of covariant functors""; ""2.5. Bi-algebras""; ""2.6. Abelian group completions""
""2.7. Constructing limH*(m) from H*(M)""""2.8. Base points""; ""2.9. Primitive elements""; ""2.10. Mixed Hodge Structure""; ""Chapter 3. Chow varieties and Lawson homology""; ""3.1. The Chow variety""; ""3.2. Functoriality and Chow varieties""; ""3.3. Functoriality: algebraic context""; ""3.4. The additive monoid""; ""3.5. Lawson homology""; ""Chapter 4. Correspondences and Lawson homology""; ""4.1. Correspondence homomorphisms""; ""4.2. The Chow correspondence homomorphism""; ""4.3. The Chow correspondence homomorphism and Lawson homology"" ""Chapter 5. ""Multiplication"" of algebraic cycles""""5.1. The multiplicative structure on Chow varieties""; ""5.2. Bilinear pairings on group completions""; ""5.3. The multiplicative structure on Lawson homology""; ""5.4. The ring structure on Lawson homology of P[sup(0)]""; ""Chapter 6. Operations in Lawson homology""; ""6.1. The structure of the algebra A""; ""6.2. A ""geometric"" description of s""; ""6.3. A homological description of iterates of s""; ""6.4. The connection between s and the correspondence homomorphism"" ""6.5. The operator Ï?[sub(j)]and the Chow correspondence homomorphism""""6.6. The operator h""; ""Chapter 7. Filtrations""; ""7.1. The Hodge Filtration""; ""7.2. The Geometric filtration""; ""7.3. The Topological filtration""; ""7.4. The Correspondence subspace""; ""7.5. Equality of correspondence and topological filtrations""; ""Appendix A. Mixed Hodge Structures, Homology, and Cycle classes""; ""A.1. Mixed Hodge Structure on homology and cohomology""; ""A.2. Homology and cohomology of smooth varieties""; ""A.3. Cycle classes in homology"" ""A.4. Change of cycle class under l.c.i. morphisms""""A.5. Relation to birational change of correspondence""; ""A.6. Correspondences and suspensions""; ""Appendix B. Trace maps and the Dold-Thom Theorem""; ""B.1. The inverse image mapping on homology attached to a ""weighted map""""; ""B.2. The Dold-Thom theorem""; ""Appendix Q. On the group completion of a simplicial monoid""; ""Q.1. Rings of fractions""; ""Q.2. Grading of RS-[sup(1)]""; ""Q.3. The Eilenberg-Moore spectral sequence""; ""Q.4. A comparison lemma""; ""Q.5. Good simplicial monoids""; ""Q.6. Homology of the group completion"" ""Q.7. Applications to K-theory"" |
| Record Nr. | UNINA-9910788755203321 |
|
Friedlander E. M (Eric M.), <1944->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Filtrations on the homology of algebraic varieties / / Eric M. Friedlander, Barry Mazur
| Filtrations on the homology of algebraic varieties / / Eric M. Friedlander, Barry Mazur |
| Autore | Friedlander E. M (Eric M.), <1944-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (126 p.) |
| Disciplina | 516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Algebraic cycles
Filters (Mathematics) Homology theory |
| ISBN | 1-4704-0108-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Introduction""; ""Chapter 1. Questions and Speculations""; ""1.1. The nitrations""; ""1.2. Dependence on the projective imbedding""; ""1.3. The ""Strong Lefschetz"" mapping in Lawson Homology""; ""1.4. Equivalence relations on algebraic cycles""; ""1.5. Stabilized homotopy of moduli spaces""; ""1.6. Joins and Resultants""; ""Chapter 2. Abelian monoid varieties""; ""2.1. Monoids""; ""2.2. Limits""; ""2.3. Directed systems attached to an abelian monoid""; ""2.4. Limits of covariant functors""; ""2.5. Bi-algebras""; ""2.6. Abelian group completions""
""2.7. Constructing limH*(m) from H*(M)""""2.8. Base points""; ""2.9. Primitive elements""; ""2.10. Mixed Hodge Structure""; ""Chapter 3. Chow varieties and Lawson homology""; ""3.1. The Chow variety""; ""3.2. Functoriality and Chow varieties""; ""3.3. Functoriality: algebraic context""; ""3.4. The additive monoid""; ""3.5. Lawson homology""; ""Chapter 4. Correspondences and Lawson homology""; ""4.1. Correspondence homomorphisms""; ""4.2. The Chow correspondence homomorphism""; ""4.3. The Chow correspondence homomorphism and Lawson homology"" ""Chapter 5. ""Multiplication"" of algebraic cycles""""5.1. The multiplicative structure on Chow varieties""; ""5.2. Bilinear pairings on group completions""; ""5.3. The multiplicative structure on Lawson homology""; ""5.4. The ring structure on Lawson homology of P[sup(0)]""; ""Chapter 6. Operations in Lawson homology""; ""6.1. The structure of the algebra A""; ""6.2. A ""geometric"" description of s""; ""6.3. A homological description of iterates of s""; ""6.4. The connection between s and the correspondence homomorphism"" ""6.5. The operator Ï?[sub(j)]and the Chow correspondence homomorphism""""6.6. The operator h""; ""Chapter 7. Filtrations""; ""7.1. The Hodge Filtration""; ""7.2. The Geometric filtration""; ""7.3. The Topological filtration""; ""7.4. The Correspondence subspace""; ""7.5. Equality of correspondence and topological filtrations""; ""Appendix A. Mixed Hodge Structures, Homology, and Cycle classes""; ""A.1. Mixed Hodge Structure on homology and cohomology""; ""A.2. Homology and cohomology of smooth varieties""; ""A.3. Cycle classes in homology"" ""A.4. Change of cycle class under l.c.i. morphisms""""A.5. Relation to birational change of correspondence""; ""A.6. Correspondences and suspensions""; ""Appendix B. Trace maps and the Dold-Thom Theorem""; ""B.1. The inverse image mapping on homology attached to a ""weighted map""""; ""B.2. The Dold-Thom theorem""; ""Appendix Q. On the group completion of a simplicial monoid""; ""Q.1. Rings of fractions""; ""Q.2. Grading of RS-[sup(1)]""; ""Q.3. The Eilenberg-Moore spectral sequence""; ""Q.4. A comparison lemma""; ""Q.5. Good simplicial monoids""; ""Q.6. Homology of the group completion"" ""Q.7. Applications to K-theory"" |
| Record Nr. | UNINA-9910828267203321 |
|
Friedlander E. M (Eric M.), <1944->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| ||
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 | ||
| ||
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 | ||
| ||
