Commutative algebra and noncommutative algebraic geometry
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Commutative algebra and noncommutative algebraic geometry
(Mathematical Sciences Research Institute publications, 67-68)
Cambridge University Press, 2015
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- v. 2 : hardback
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Note
Other editors: Srikanth B. Iyengar, Anurag K. Singh, J. Toby Stafford, Michel Van den Bergh
v. 1: Expository articles
v. 2: Research articles
Includes bibliographical references
Description and Table of Contents
- Volume
-
v. 1 : hardback ISBN 9781107065628
Description
Table of Contents
- Preface David Eisenbud, Srikanth B. Iyengar, Anurag K. Singh, J. Toby Stafford and Michel Van den Bergh
- 1. Growth functions Jason P. Bell
- Syzygies, finite length modules, and random curves Christine Berkesch and Frank-Olaf Schreyer
- 2. Vector bundles and ideal closure operations Holger Brenner
- 3. Hecke algebras and symplectic reflection algebras Maria Chlouveraki
- 4. Limits in commutative algebra and algebraic geometry Steven Dale Cutkosky
- 5. Introduction to uniformity in commutative algebra Craig Huneke and Claudiu Raicu
- 6. Noncommutative motives and their applications Matilde Marcolli and Goncalo Tabuada
- 7. Infinite graded free resolutions Jason McCullough and Irena Peeva
- 8. Poincare-Birkhoff-Witt theorems Anne V. Shepler and Sarah Witherspoon
- 9. Frobenius splitting in commutative algebra Karen E. Smith and Wenliang Zhang
- 10. From Briancon-Skoda to Scherk-Varchenko Duco van Straten
- 11. The interplay of algebra and geometry in the setting of regular algebras Michaela Vancliff
- 12. Survey on the D-module f s Uli Walther, with an appendix by Anton Leykin
- 13. Introduction to derived categories Amnon Yekutieli.
- Volume
-
v. 2 : hardback ISBN 9781107149724
Description
Table of Contents
- Preface David Eisenbud, Srikanth B. Iyengar, Anurag K. Singh, J. Toby Stafford and Michel Van den Bergh
- 1. When is a squarefree monomial ideal of linear type? Ali Alilooee and Sara Faridi
- 2. Modules for elementary abelian groups and hypersurface singularities David J. Benson
- 3. Ideals generated by superstandard tableaux Andrew Berget, Winfried Bruns and Aldo Conca
- 4. Zariski topologies on stratified spectra of quantum algebras Kenneth A. Brown and Kenneth R. Goodearl
- 5. The derived category of a graded Gorenstein ring Jesse Burke and Greg Stevenson
- 6. Singularities with respect to Mather-Jacobian discrepancies Lawrence Ein and Shihoko Ishii
- 7. Reduction numbers and balanced ideals Louiza Fouli
- 8. Unipotent and Nakayama automorphisms of quantum nilpotent algebras Kenneth R. Goodearl and Milen T. Yakilmov
- 9. Formal fibers of prime ideals in polynomial rings William Heinzer, Christel Rotthaus and Sylvia Wiegand
- 10. Bounding the socles of powers of squarefree monomial ideals Jurgen Herzog and Takayuki Hibi
- 11. An intriguing ring structure on the set of d-forms Jurgen Herzog, Leila Sharifan and Matteo Varbaro
- 12. On the subadditivity problem for maximal shifts in free resolutions Jurgen Herzog and Hema Srinivasan
- 13. The cone of Betti tables over a rational normal curve Manoj Kummini and Steven V. Sam
- 14. Adjoint associativity - an invitation to algebra in -categories Joseph Lipman.
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