An elementary proof of Cohen-Gabber theorem in the equal characteristic $p>0$ case

Abstract

The aim of this article is to give a new proof of Cohen-Gabber theorem in the equal characteristic $p>0$ case.

13 pages, to appear in Tohoku Math. J

Cited by in corpus (3)

• Singularities in mixed characteristic via perfectoid big Cohen-Macaulay algebras
• On the behavior of $F$-signatures, splitting primes, and test modules under finite covers
• Stability of test ideals of divisors with small multiplicity