Frobenius Splitting in Commutative Algebra

Abstract

This is a survey of Frobenius splitting techniques in commutative algebra, based on the first author's lectures at the introductory workshop for the special year in commutative algebra at MSRI in fall 2012.

to appear in MSRI volume

References in corpus (9)

• Globally $F$-regular and log Fano varieties
• F-thresholds and Bernstein-Sato polynomials
• F-signature exists
• On the behavior of test ideals under finite morphisms
• Test ideals of non-principal ideals: Computations, Jumping Numbers, Alterations and Division Theorems
• Irrational Hilbert-Kunz multiplicities
• Characterization of varieties of Fano type via singularities of Cox rings
• F-pure thresholds of binomial hypersurfaces
• F-pure thresholds of homogeneous polynomials

Cited by in corpus (4)

• Valuations and Frobenius
• The Frobenius complexity of Hibi rings
• Tate algebras and Frobenius non-splitting of excellent regular rings
• Diagonal F-splitting and Symbolic Powers of Ideals