**Frobenius Splitting in Commutative Algebra**

by Karen E. Smith, Wenliang Zhang

**Publisher**: arXiv 2014**Number of pages**: 53

**Description**:

Frobenius splitting has inspired a vast arsenal of techniques in commutative algebra, algebraic geometry, and representation theory. The purpose of these lectures is to give a gentle introduction to Frobenius splitting, or more broadly 'Frobenius techniques,' for beginners.

Download or read it online for free here:

**Download link**

(580KB, PDF)

## 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.

(

**11762**views)

**A Course In Commutative Algebra**

by

**Robert B. Ash**-

**University of Illinois**

This is a text for a basic course in commutative algebra, it should be accessible to those who have studied algebra at the beginning graduate level. The book should help the student reach an advanced level as quickly and efficiently as possible.

(

**17647**views)

**Commutative Algebra and Noncommutative Algebraic Geometry**

by

**David Eisenbud, et al.**-

**Cambridge University Press**

The books cover birational geometry, D-modules, invariant theory, matrix factorizations, noncommutative resolutions, singularity categories, support varieties, tilting theory, etc. These volumes reflect the lively interaction between the subjects.

(

**6163**views)

**Homological Conjectures**

by

**Tom Marley, Laura Lynch**-

**University of Nebraska - Lincoln**

This course is an overview of Homological Conjectures, in particular, the Zero Divisor Conjecture, the Rigidity Conjecture, the Intersection Conjectures, Bass' Conjecture, the Superheight Conjecture, the Direct Summand Conjecture, etc.

(

**10906**views)