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 and Noncommutative Algebraic Geometryby 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.
(6108 views)
Introduction to Commutative Algebraby Thomas J. Haines - University of Maryland
Notes for an introductory course on commutative algebra. Algebraic geometry uses commutative algebraic as its 'local machinery'. The goal of these lectures is to study commutative algebra and some topics in algebraic geometry in a parallel manner.
(10189 views)
A Primer of Commutative Algebraby 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.
(9666 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.
(7396 views)