$F$-singularities: applications of characteristic $p$ methods to singularity theory

Abstract

This is a survey article on $F$-singularities and their applications.

41 pages, to appear in Sugaku Expositions; v2: references added

References in corpus (4)

• Integral closure of ideals
• Semistability and Hilbert-Kunz multiplicities for curves
• The limit as p -> infinity of the Hilbert-Kunz multiplicity of sum(x_i^(d_i))
• Classification of the linearly reductive finite subgroup schemes of $S{L}_2$