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Commutative algebra = expository papers dedicated to David Eisenbud on the occasion of his 75th birthday /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Commutative algebra/ edited by Irena Peeva.
其他題名:	expository papers dedicated to David Eisenbud on the occasion of his 75th birthday /
其他作者:	Peeva, Irena.
出版者:	Cham :Springer International Publishing : : 2021.,
面頁冊數:	1 online resource (xxv, 889 p.) :ill., digital ;24 cm.
內容註:	1. Berstein-Sato Polynomials in Commutative Algebra (J. Alvarez Montaner, J. Jeffries, L. Nunez-Betancourt) -- 2. Lower Bounds on Betti Numbers (A. Boocher, E. Grifo) -- 3. The Simplest Minimal Free Resolutions in P1 x P1 (N. Botbol, A. Dickenstein, H. Schenck) -- 4. The Simplest Minimal Free Resolutions in P1 x P1 (W. Bruns, A. Conca, M. Varbaro) -- 5.The Eisenbud-Green-Harris Conjecture (G. Caviglia, A. De Stefani, E. Sbarra) -- 6. Fibers of Rational Maps and Elimination Matrices (M. Chardin, L. Buse) -- 7. Three Takes on Almost Complete Intersection Ideals of Grade 3 (L.W. Christensen, O. Veliche, J. Weyman) -- 8. Stickelberger and the Eigenvalue Theorem (D.A. Cox) -- 9. Multiplicities and Mixed Multiplicities of Filtrations (S.D. Cutkosky, H. Srinivasan) -- 10. Stanley-Reisner Rings (R. Froberg) -- 11. Symbolic Rees Algebras (E. Grifo, A. Seceleanu) -- 12. The Alexander-Hirschowitz Theorem and Related Problems (H. Tai Ha, P. Mantero) -- 13. Depth Functions and Symbolic Depth Functions of Homogeneous Ideals (H. Tai Ha, N.V. Trung) -- 14. Algebraic Geometry, Commutative Algebra, and Combinatorics (B. Harbourne) -- 15. Maximal Cohen-Macaulay Complexes and Their Uses (S.B. Iyengar, L. Ma, K. Schwede, M.E. Walker) -- 16. Subadditivity of Syzygies of Ideals and Related Problems (J. McCullough) -- 17. Applications of Liaison (J. Migliore, U. Nagel) -- 18. Survey on Regularity of Symbolic Powers of an Edge Ideal (N.C. Minh, T. Vu) -- 19. Applications of Differential Graded Algebra Techniques in Commutative Algebra (S. Nasseh, S.K. Sather-Wagstaff) -- 20. Regularity Bounds by Projection (W. Niu) -- 21. The Zariski-Riemann Space of Valuation Rings (B. Olberding) -- 22. Rational Points and Trace Forms on a Finite Algebra Over a Real Closed Field (D.P. Patil, J.K. Verma) -- 23. Diagrams in Commutative Algebra (I. Peeva) -- 24. Hermite Reciprocity and Schwartzenberger Bundles (C. Raicu, S.V. Sam) -- 25. Generation in Module Categories and Derived Categories of Commutative Rings (R. Takahashi) -- 26. Existence and Constructions of Totally Reflexive Modules (A. Vraciu) -- 27. Local Cohomology - An Invitation (U. Walther, W. Zhang) -- 28. Which Properties of Stanley-Reisner Rings and Simplicial Complexes are Topological? (V. Welker)
Contained By:	Springer Nature eBook
標題:	Commutative algebra. -
電子資源:	https://doi.org/10.1007/978-3-030-89694-2
ISBN:	9783030896942

Commutative algebra = expository papers dedicated to David Eisenbud on the occasion of his 75th birthday /
Commutative algebraexpository papers dedicated to David Eisenbud on the occasion of his 75th birthday /[electronic resource] :edited by Irena Peeva. - Cham :Springer International Publishing :2021. - 1 online resource (xxv, 889 p.) :ill., digital ;24 cm.

1. Berstein-Sato Polynomials in Commutative Algebra (J. Alvarez Montaner, J. Jeffries, L. Nunez-Betancourt) -- 2. Lower Bounds on Betti Numbers (A. Boocher, E. Grifo) -- 3. The Simplest Minimal Free Resolutions in P1 x P1 (N. Botbol, A. Dickenstein, H. Schenck) -- 4. The Simplest Minimal Free Resolutions in P1 x P1 (W. Bruns, A. Conca, M. Varbaro) -- 5.The Eisenbud-Green-Harris Conjecture (G. Caviglia, A. De Stefani, E. Sbarra) -- 6. Fibers of Rational Maps and Elimination Matrices (M. Chardin, L. Buse) -- 7. Three Takes on Almost Complete Intersection Ideals of Grade 3 (L.W. Christensen, O. Veliche, J. Weyman) -- 8. Stickelberger and the Eigenvalue Theorem (D.A. Cox) -- 9. Multiplicities and Mixed Multiplicities of Filtrations (S.D. Cutkosky, H. Srinivasan) -- 10. Stanley-Reisner Rings (R. Froberg) -- 11. Symbolic Rees Algebras (E. Grifo, A. Seceleanu) -- 12. The Alexander-Hirschowitz Theorem and Related Problems (H. Tai Ha, P. Mantero) -- 13. Depth Functions and Symbolic Depth Functions of Homogeneous Ideals (H. Tai Ha, N.V. Trung) -- 14. Algebraic Geometry, Commutative Algebra, and Combinatorics (B. Harbourne) -- 15. Maximal Cohen-Macaulay Complexes and Their Uses (S.B. Iyengar, L. Ma, K. Schwede, M.E. Walker) -- 16. Subadditivity of Syzygies of Ideals and Related Problems (J. McCullough) -- 17. Applications of Liaison (J. Migliore, U. Nagel) -- 18. Survey on Regularity of Symbolic Powers of an Edge Ideal (N.C. Minh, T. Vu) -- 19. Applications of Differential Graded Algebra Techniques in Commutative Algebra (S. Nasseh, S.K. Sather-Wagstaff) -- 20. Regularity Bounds by Projection (W. Niu) -- 21. The Zariski-Riemann Space of Valuation Rings (B. Olberding) -- 22. Rational Points and Trace Forms on a Finite Algebra Over a Real Closed Field (D.P. Patil, J.K. Verma) -- 23. Diagrams in Commutative Algebra (I. Peeva) -- 24. Hermite Reciprocity and Schwartzenberger Bundles (C. Raicu, S.V. Sam) -- 25. Generation in Module Categories and Derived Categories of Commutative Rings (R. Takahashi) -- 26. Existence and Constructions of Totally Reflexive Modules (A. Vraciu) -- 27. Local Cohomology - An Invitation (U. Walther, W. Zhang) -- 28. Which Properties of Stanley-Reisner Rings and Simplicial Complexes are Topological? (V. Welker)

This contributed volume is a follow-up to the 2013 volume of the same title, published in honor of noted Algebraist David Eisenbud's 65th birthday. It brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Category Theory, Combinatorics, Computational Algebra, Homological Algebra, Hyperplane Arrangements, and Non-commutative Algebra. The book aims to showcase the area and aid junior mathematicians and researchers who are new to the field in broadening their background and gaining a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research.

ISBN: 9783030896942

Standard No.: 10.1007/978-3-030-89694-2doiSubjects--Topical Terms:

604140
Commutative algebra.

LC Class. No.: QA251.3 / C66 2021

Dewey Class. No.: 512.44

Commutative algebra = expository papers dedicated to David Eisenbud on the occasion of his 75th birthday /
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505 0 $a 1. Berstein-Sato Polynomials in Commutative Algebra (J. Alvarez Montaner, J. Jeffries, L. Nunez-Betancourt) -- 2. Lower Bounds on Betti Numbers (A. Boocher, E. Grifo) -- 3. The Simplest Minimal Free Resolutions in P1 x P1 (N. Botbol, A. Dickenstein, H. Schenck) -- 4. The Simplest Minimal Free Resolutions in P1 x P1 (W. Bruns, A. Conca, M. Varbaro) -- 5.The Eisenbud-Green-Harris Conjecture (G. Caviglia, A. De Stefani, E. Sbarra) -- 6. Fibers of Rational Maps and Elimination Matrices (M. Chardin, L. Buse) -- 7. Three Takes on Almost Complete Intersection Ideals of Grade 3 (L.W. Christensen, O. Veliche, J. Weyman) -- 8. Stickelberger and the Eigenvalue Theorem (D.A. Cox) -- 9. Multiplicities and Mixed Multiplicities of Filtrations (S.D. Cutkosky, H. Srinivasan) -- 10. Stanley-Reisner Rings (R. Froberg) -- 11. Symbolic Rees Algebras (E. Grifo, A. Seceleanu) -- 12. The Alexander-Hirschowitz Theorem and Related Problems (H. Tai Ha, P. Mantero) -- 13. Depth Functions and Symbolic Depth Functions of Homogeneous Ideals (H. Tai Ha, N.V. Trung) -- 14. Algebraic Geometry, Commutative Algebra, and Combinatorics (B. Harbourne) -- 15. Maximal Cohen-Macaulay Complexes and Their Uses (S.B. Iyengar, L. Ma, K. Schwede, M.E. Walker) -- 16. Subadditivity of Syzygies of Ideals and Related Problems (J. McCullough) -- 17. Applications of Liaison (J. Migliore, U. Nagel) -- 18. Survey on Regularity of Symbolic Powers of an Edge Ideal (N.C. Minh, T. Vu) -- 19. Applications of Differential Graded Algebra Techniques in Commutative Algebra (S. Nasseh, S.K. Sather-Wagstaff) -- 20. Regularity Bounds by Projection (W. Niu) -- 21. The Zariski-Riemann Space of Valuation Rings (B. Olberding) -- 22. Rational Points and Trace Forms on a Finite Algebra Over a Real Closed Field (D.P. Patil, J.K. Verma) -- 23. Diagrams in Commutative Algebra (I. Peeva) -- 24. Hermite Reciprocity and Schwartzenberger Bundles (C. Raicu, S.V. Sam) -- 25. Generation in Module Categories and Derived Categories of Commutative Rings (R. Takahashi) -- 26. Existence and Constructions of Totally Reflexive Modules (A. Vraciu) -- 27. Local Cohomology - An Invitation (U. Walther, W. Zhang) -- 28. Which Properties of Stanley-Reisner Rings and Simplicial Complexes are Topological? (V. Welker)
520 $a This contributed volume is a follow-up to the 2013 volume of the same title, published in honor of noted Algebraist David Eisenbud's 65th birthday. It brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Category Theory, Combinatorics, Computational Algebra, Homological Algebra, Hyperplane Arrangements, and Non-commutative Algebra. The book aims to showcase the area and aid junior mathematicians and researchers who are new to the field in broadening their background and gaining a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research.
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