Commutative Algebra and Noncommutative Algebraic Geometry
by David Eisenbud, et al.
Publisher: Cambridge University Press 2015
Number of pages: 775
Description:
The books cover birational geometry, D-modules, invariant theory, matrix factorizations, noncommutative resolutions, singularity categories, support varieties, tilting theory, etc. These two volumes reflect the lively interaction between the subjects.
Download or read it online for free here:
Download link 1
Download link 2
(multiple PDF files)
Similar books
Commutative Algebraby Keerthi Madapusi - Harvard University
Contents: Graded Rings and Modules; Flatness; Integrality: the Cohen-Seidenberg Theorems; Completions and Hensel's Lemma; Dimension Theory; Invertible Modules and Divisors; Noether Normalization and its Consequences; Quasi-finite Algebras; etc.
(13462 views)
A Quick Review of Commutative Algebraby Sudhir R. Ghorpade - Indian Institute of Technology, Bombay
These notes give a rapid review of the rudiments of classical commutative algebra. Some of the main results whose proofs are outlined here are: Hilbert basis theorem, primary decomposition of ideals in noetherian rings, Krull intersection theorem.
(12272 views)
Introduction to Twisted Commutative Algebrasby Steven V Sam, Andrew Snowden - arXiv
An expository account of the theory of twisted commutative algebras, which can be thought of as a theory for handling commutative algebras with large groups of linear symmetries. Examples include the coordinate rings of determinantal varieties, etc.
(9119 views)
Theory and Applications of Lattice Point Methods for Binomial Idealsby Ezra Miller - arXiv
This is a survey of lattice point methods for binomial ideals. It is aimed at students and researchers in algebra; it includes many examples, open problems, and elementary introductions to the motivations and background from outside of algebra.
(10779 views)