Commutative Algebra and Noncommutative Algebraic Geometry
Volume I: Expository Articles
Edited by David Eisenbud, Srikanth B. Iyengar, Anurag K. Singh, J. Joby Stafford, and Michel Van de Bergh
Contents
Front matter (front page, copyright page)
PDF file
Table of contents
PDF file
Preface by David Eisenbud, Srikanth B. Iyengar, Anurag K. Singh, J. Toby Stafford and Michel Van den Bergh, ix
PDF file
Growth functions, by Jason P. Bell, 1–24
PDF file
Syzygies, finite length modules, and random curves, by Christine Berkesch and Frank-Olaf Schreyer, 25–52
PDF file
Vector bundles and ideal closure operations, by Holger Brenner, 53–93
PDF file
Hecke algebras and symplectic reflection algebras, by Maria Chlouveraki, 95–139
PDF file
Limits in commutative algebra and algebraic geometry, by Steven Dale Cutkosky, 141–162
PDF file
Introduction to uniformity in commutative algebra, by Craig Huneke and Claudiu Raicu, 163–190
PDF file
Noncommutative motives and their applications, by Matilde Marcolli and Gonçalo Tabuada, 191–214
PDF file
Infinite graded free resolutions, by Jason McCullough and Irena Peeva , 215–257
PDF file
Poincaré–Birkhoff–Witt theorems, by Anne V. Shepler and Sarah Witherspoon, 259–290
PDF file
Frobenius splitting in commutative algebra, by Karen E. Smith and Wenliang Zhang, 291–345
PDF file
From Briançon–Skoda to Scherk–Varchenko, by Duco van Straten, 347–370
PDF file
The interplay of algebra and geometry in the setting of regular algebras, by Michaela Vancliff, 371–390
PDF file
Survey on the $D$-module $f^{s}$, by Uli Walther, with an appendix by Anton Leykin, 391–430
PDF file
Introduction to derived categories, by Amnon Yekutieli, 431–451
PDF file