(Mostly) commutative algebra / / Antoine Chambert-Loir
| (Mostly) commutative algebra / / Antoine Chambert-Loir |
| Autore | Chambert-Loir Antoine |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (471 pages) |
| Disciplina | 512.24 |
| Collana | Universitext |
| Soggetto topico |
Commutative algebra
Àlgebra commutativa |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-61595-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466546403316 |
Chambert-Loir Antoine
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||
| Cham, Switzerland : , : Springer, , [2021] | ||
| Lo trovi qui: Univ. di Salerno | ||
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(Mostly) commutative algebra / / Antoine Chambert-Loir
| (Mostly) commutative algebra / / Antoine Chambert-Loir |
| Autore | Chambert-Loir Antoine |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (471 pages) |
| Disciplina | 512.24 |
| Collana | Universitext |
| Soggetto topico |
Commutative algebra
Àlgebra commutativa |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-61595-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910483721503321 |
Chambert-Loir Antoine
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebraic geometry and commutative algebra / / Siegfried Bosch
| Algebraic geometry and commutative algebra / / Siegfried Bosch |
| Autore | Bosch S (Siegfried), <1944-> |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | London, England : , : Springer-Verlag, , [2022] |
| Descrizione fisica | 1 online resource (508 pages) |
| Disciplina | 516.35 |
| Collana | Universitext |
| Soggetto topico |
Geometry, Algebraic
Commutative algebra Algebra Geometria algebraica Àlgebra commutativa |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9781447175230
9781447175223 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996472037103316 |
Bosch S (Siegfried), <1944->
|
||
| London, England : , : Springer-Verlag, , [2022] | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Algebraic geometry and commutative algebra / / Siegfried Bosch
| Algebraic geometry and commutative algebra / / Siegfried Bosch |
| Autore | Bosch S (Siegfried), <1944-> |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | London, England : , : Springer-Verlag, , [2022] |
| Descrizione fisica | 1 online resource (508 pages) |
| Disciplina | 516.35 |
| Collana | Universitext |
| Soggetto topico |
Geometry, Algebraic
Commutative algebra Algebra Geometria algebraica Àlgebra commutativa |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9781447175230
9781447175223 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910564691103321 |
Bosch S (Siegfried), <1944->
|
||
| London, England : , : Springer-Verlag, , [2022] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Commutative algebra : expository papers dedicated to David Eisenbud on the occasion of his 65th birthday / / edited by Irena Peeva
| Commutative algebra : expository papers dedicated to David Eisenbud on the occasion of his 65th birthday / / edited by Irena Peeva |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (898 pages) |
| Disciplina | 512.24 |
| Soggetto topico |
Àlgebra commutativa
Anells commutatius Commutative algebra |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783030896942
9783030896935 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466556503316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Commutative algebra : expository papers dedicated to David Eisenbud on the occasion of his 65th birthday / / edited by Irena Peeva
| Commutative algebra : expository papers dedicated to David Eisenbud on the occasion of his 65th birthday / / edited by Irena Peeva |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (898 pages) |
| Disciplina | 512.24 |
| Soggetto topico |
Àlgebra commutativa
Anells commutatius Commutative algebra |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783030896942
9783030896935 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910547291403321 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Derived Category Methods in Commutative Algebra / / by Lars Winther Christensen, Hans-Bjørn Foxby, Henrik Holm
| Derived Category Methods in Commutative Algebra / / by Lars Winther Christensen, Hans-Bjørn Foxby, Henrik Holm |
| Autore | Christensen Lars Winther |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (1130 pages) |
| Disciplina | 512.6 |
| Altri autori (Persone) |
FoxbyHans-Bjø
HolmHenrik |
| Collana | Springer Monographs in Mathematics |
| Soggetto topico |
Algebra, Homological
Commutative algebra Commutative rings Category Theory, Homological Algebra Commutative Rings and Algebras Àlgebra commutativa Àlgebra homològica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031774539
3031774531 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Modules -- 2 Complexes -- 3 Categorical Constructions -- 4 Equivalences and Isomorphisms -- 5 Resolutions -- 6 The Derived Category -- 7 Derived Functors -- 8 Homological Dimensions -- 9 Gorenstein Homological Dimensions -- 10 Dualizing Complexes -- 11 Torsion and Completion -- 12 A Brief for Commutative Ring Theorists -- 13 Derived Torsion and Completion -- 14 Krull Dimension, Depth, and Width -- 15 Support Theories -- 16 Homological Invariants over Local Rings -- 17 Going Local -- 18 Dualities and Cohen-Macaulay Rings -- 19 Gorenstein Dimensions and Gorenstein Rings -- 20 Global Dimension and Regular Rings -- APPENDIX A: Acyclicity and Boundedness -- APPENDIX B: Minimality -- APPENDIX C: Structure of Injective Modules -- APPENDIX D: Projective Dimension of Flat Modules -- APPENDIX E: Triangulated Categories. |
| Record Nr. | UNINA-9910917193003321 |
Christensen Lars Winther
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 | ||
| Lo trovi qui: Univ. Federico II | ||
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Determinants, Gröbner bases and cohomology / / Winfried Bruns [and three others]
| Determinants, Gröbner bases and cohomology / / Winfried Bruns [and three others] |
| Autore | Bruns Winfried |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (514 pages) |
| Disciplina | 512.55 |
| Collana | Springer monographs in mathematics |
| Soggetto topico |
Algebra, Homological
Algebraic geometry Commutative algebra Àlgebra homològica Geometria algebraica Àlgebra commutativa |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-05480-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Gröbner Bases, Initial Ideals and Initial Algebras -- 1.1 Monomial Orders -- 1.2 Gröbner Bases -- 1.3 Sagbi Bases -- 1.4 Initial Subspaces and Gradings -- 1.5 Initial Subspaces for Weights. Homogenization -- 1.6 Deformation to the Initial Object -- 2 More on Gröbner Deformations -- 2.1 Minimal and Associated Primes -- 2.2 Connectedness -- 2.3 Optimal Gröbner Deformations -- 2.4 Square-Free Gröbner Deformations -- 3 Determinantal Ideals and the Straightening Law -- 3.1 Minors and Determinantal Ideals -- 3.2 Standard Bitableaux and the Straightening Law -- 3.3 Refinement of the Straightening Law -- 3.4 Determinantal Rings -- 3.5 Powers and Products of Determinantal Ideals -- 3.6 Representation Theory -- 4 Gröbner Bases of Determinantal Ideals -- 4.1 An Instructive Case: the Ideal of 2-Minors -- 4.2 The Robinson-Schensted-Knuth Correspondence -- 4.3 RSK and Gröbner Bases of Ideals -- 4.4 Cohen-Macaulayness and Hilbert Series of Determinantal Rings -- 4.5 Gröbner Bases via Secants -- 4.6 Multigraded Structures and the Multidegree -- 5 Universal Gröbner Bases -- 5.1 Universal Gröbner Bases -- 5.2 Universal Gröbner Bases for Maximal Minors -- 5.3 Universal Gröbner Bases for 2-Minors -- 6 Algebras Defined by Minors -- 6.1 A Recap of Toric Algebra -- 6.2 Algebras Defined by Maximal Minors -- 6.3 Rees Algebras of Determinantal Ideals -- 6.4 The Algebra of Minors -- 6.5 Algebraic Relations between Minors -- 6.6 Exterior Powers of Linear Maps -- 6.7 Sagbi Deformations of Determinantal Rings -- 7 F-singularities of Determinantal Rings -- 7.1 F-purity -- 7.2 F-regularity -- 7.3 F-rationality and Gröbner Deformations -- 7.4 Equivariant Deformations -- 7.5 F-pure Thresholds -- 8 Castelnuovo-Mumford Regularity -- 8.1 Castelnuovo-Mumford Regularity over General Base Rings.
8.2 Castelnuovo-Mumford Regularity and Multigraded Structures -- 8.3 Vanishing over Nonstandard Multigraded Rings -- 8.4 Regularity of Powers and Products of Ideals -- 8.5 Linear Powers and Linear Products -- 8.6 A Family of Determinantal Ideals with Linear Products -- 8.7 Maximal Minors of Matrices of Linear Forms and Linear Powers -- 9 Grassmannians, Flag Varieties, Schur Functors and Cohomology -- 9.1 Fundamental Multilinear Algebra Constructions -- 9.2 Affine and Projective Bundles, Grassmannians, Flag Varieties -- 9.3 Basic Calculus with Direct Images -- 9.4 The Kempf Vanishing Theorem -- 9.5 Characteristic-Free Vanishing for some Nondominant Weights -- 9.6 A Sharp Characteristic-Free Vanishing on Projective Bundles -- 9.7 Algebraic Groups and Representations -- 9.8 Schur Functors -- 9.9 Grothendieck Duality -- 9.10 Cohomology Vanishing on Grassmannians -- 10 Asymptotic Regularity for Symbolic Powers of Determinantal Ideals -- 10.1 Quotients of Ideals Defined by Shape -- 10.2 Filtrations Associated with Ideals Defined by Shape -- 10.3 An algorithm to Compute Z(Σ) -- 10.4 The Filtration for Symbolic Powers of Determinantal Ideals -- 10.5 Sheaves Defined by Shape and Their Quotients -- 10.6 A Geometric Realization of the Modules J(σ)l -- 10.7 Regularity of Symbolic Powers of Determinantal Ideals -- 10.8 Some Geometric Properties of Determinantal Varieties -- 11 Cohomology and Regularity in Characteristic Zero -- 11.1 The Borel-Weil-Bott Theorem -- 11.2 The Optimality of Theorem 9.5.1摥映數爠eflinkthm:charspsfreespsvanishing9.5.19 -- 11.3 Borel-Weil-Bott on Grassmannians -- 11.4 Effective Vanishing of Cohomology in Characteristic Zero -- 11.5 Cauchy's Formula Revisited -- 11.6 Explicit Description of `3́9`42`"̇613A``45`47`"603AExt Modules for J(σ)l -- 11.7 `3́9`42`"̇613A``45`47`"603AExt Modules for Symbolic Powers. 11.8 The Basics on `3́9`42`"̇613A``45`47`"603AGL-Invariant Ideals -- 11.9 `3́9`42`"̇613A``45`47`"603AExt Modules for `3́9`42`"̇613A``45`47`"603AGL-Invariant Ideals -- 11.10 Local Cohomology with Determinantal Support -- 11.11 Syzygies of `3́9`42`"̇613A``45`47`"603AGL-Invariant Ideals -- Appendix List of Symbols -- References -- -- Index. |
| Record Nr. | UNINA-9910633915903321 |
Bruns Winfried
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Lo trovi qui: Univ. Federico II | ||
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Determinants, Gröbner bases and cohomology / / Winfried Bruns [and three others]
| Determinants, Gröbner bases and cohomology / / Winfried Bruns [and three others] |
| Autore | Bruns Winfried |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (514 pages) |
| Disciplina | 512.55 |
| Collana | Springer monographs in mathematics |
| Soggetto topico |
Algebra, Homological
Algebraic geometry Commutative algebra Àlgebra homològica Geometria algebraica Àlgebra commutativa |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-05480-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Gröbner Bases, Initial Ideals and Initial Algebras -- 1.1 Monomial Orders -- 1.2 Gröbner Bases -- 1.3 Sagbi Bases -- 1.4 Initial Subspaces and Gradings -- 1.5 Initial Subspaces for Weights. Homogenization -- 1.6 Deformation to the Initial Object -- 2 More on Gröbner Deformations -- 2.1 Minimal and Associated Primes -- 2.2 Connectedness -- 2.3 Optimal Gröbner Deformations -- 2.4 Square-Free Gröbner Deformations -- 3 Determinantal Ideals and the Straightening Law -- 3.1 Minors and Determinantal Ideals -- 3.2 Standard Bitableaux and the Straightening Law -- 3.3 Refinement of the Straightening Law -- 3.4 Determinantal Rings -- 3.5 Powers and Products of Determinantal Ideals -- 3.6 Representation Theory -- 4 Gröbner Bases of Determinantal Ideals -- 4.1 An Instructive Case: the Ideal of 2-Minors -- 4.2 The Robinson-Schensted-Knuth Correspondence -- 4.3 RSK and Gröbner Bases of Ideals -- 4.4 Cohen-Macaulayness and Hilbert Series of Determinantal Rings -- 4.5 Gröbner Bases via Secants -- 4.6 Multigraded Structures and the Multidegree -- 5 Universal Gröbner Bases -- 5.1 Universal Gröbner Bases -- 5.2 Universal Gröbner Bases for Maximal Minors -- 5.3 Universal Gröbner Bases for 2-Minors -- 6 Algebras Defined by Minors -- 6.1 A Recap of Toric Algebra -- 6.2 Algebras Defined by Maximal Minors -- 6.3 Rees Algebras of Determinantal Ideals -- 6.4 The Algebra of Minors -- 6.5 Algebraic Relations between Minors -- 6.6 Exterior Powers of Linear Maps -- 6.7 Sagbi Deformations of Determinantal Rings -- 7 F-singularities of Determinantal Rings -- 7.1 F-purity -- 7.2 F-regularity -- 7.3 F-rationality and Gröbner Deformations -- 7.4 Equivariant Deformations -- 7.5 F-pure Thresholds -- 8 Castelnuovo-Mumford Regularity -- 8.1 Castelnuovo-Mumford Regularity over General Base Rings.
8.2 Castelnuovo-Mumford Regularity and Multigraded Structures -- 8.3 Vanishing over Nonstandard Multigraded Rings -- 8.4 Regularity of Powers and Products of Ideals -- 8.5 Linear Powers and Linear Products -- 8.6 A Family of Determinantal Ideals with Linear Products -- 8.7 Maximal Minors of Matrices of Linear Forms and Linear Powers -- 9 Grassmannians, Flag Varieties, Schur Functors and Cohomology -- 9.1 Fundamental Multilinear Algebra Constructions -- 9.2 Affine and Projective Bundles, Grassmannians, Flag Varieties -- 9.3 Basic Calculus with Direct Images -- 9.4 The Kempf Vanishing Theorem -- 9.5 Characteristic-Free Vanishing for some Nondominant Weights -- 9.6 A Sharp Characteristic-Free Vanishing on Projective Bundles -- 9.7 Algebraic Groups and Representations -- 9.8 Schur Functors -- 9.9 Grothendieck Duality -- 9.10 Cohomology Vanishing on Grassmannians -- 10 Asymptotic Regularity for Symbolic Powers of Determinantal Ideals -- 10.1 Quotients of Ideals Defined by Shape -- 10.2 Filtrations Associated with Ideals Defined by Shape -- 10.3 An algorithm to Compute Z(Σ) -- 10.4 The Filtration for Symbolic Powers of Determinantal Ideals -- 10.5 Sheaves Defined by Shape and Their Quotients -- 10.6 A Geometric Realization of the Modules J(σ)l -- 10.7 Regularity of Symbolic Powers of Determinantal Ideals -- 10.8 Some Geometric Properties of Determinantal Varieties -- 11 Cohomology and Regularity in Characteristic Zero -- 11.1 The Borel-Weil-Bott Theorem -- 11.2 The Optimality of Theorem 9.5.1摥映數爠eflinkthm:charspsfreespsvanishing9.5.19 -- 11.3 Borel-Weil-Bott on Grassmannians -- 11.4 Effective Vanishing of Cohomology in Characteristic Zero -- 11.5 Cauchy's Formula Revisited -- 11.6 Explicit Description of `3́9`42`"̇613A``45`47`"603AExt Modules for J(σ)l -- 11.7 `3́9`42`"̇613A``45`47`"603AExt Modules for Symbolic Powers. 11.8 The Basics on `3́9`42`"̇613A``45`47`"603AGL-Invariant Ideals -- 11.9 `3́9`42`"̇613A``45`47`"603AExt Modules for `3́9`42`"̇613A``45`47`"603AGL-Invariant Ideals -- 11.10 Local Cohomology with Determinantal Support -- 11.11 Syzygies of `3́9`42`"̇613A``45`47`"603AGL-Invariant Ideals -- Appendix List of Symbols -- References -- -- Index. |
| Record Nr. | UNISA-996503552303316 |
Bruns Winfried
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Lo trovi qui: Univ. di Salerno | ||
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Recent developments in commutative algebra : levico terma, trento 2019 / / Claudia Polini, 3 others
| Recent developments in commutative algebra : levico terma, trento 2019 / / Claudia Polini, 3 others |
| Autore | Polini Claudia <1966-> |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (XI, 118 p. 17 illus., 1 illus. in color.) |
| Disciplina | 512.44 |
| Collana | C.I.M.E. Foundation Subseries |
| Soggetto topico |
Commutative algebra
Geometry, Algebraic Àlgebra commutativa Geometria algebraica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-65064-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910484461703321 |
Polini Claudia <1966->
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||