**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 Algebra**

by

**Pete L. Clark**-

**University of Georgia**

Contents: Introduction to Commutative Rings; Introduction to Modules; Ideals; Examples of Rings; Swan's Theorem; Localization; Noetherian Rings; Boolean rings; Affine algebras and the Nullstellensatz; The spectrum; Integral extensions; etc.

(

**5948**views)

**Commutative Algebra**

by

**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.

(

**6464**views)

**Trends in Commutative Algebra**

by

**Luchezar L. Avramov, at al.**-

**Cambridge University Press**

This book focuses on the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology and representation theory, and combinatorics, with all necessary background provided.

(

**7024**views)

**A Primer of Commutative Algebra**

by

**J.S. Milne**

These notes prove the basic theorems in commutative algebra required for algebraic geometry and algebraic groups. They assume only a knowledge of the algebra usually taught in advanced undergraduate or first-year graduate courses.

(

**5607**views)