The X-method for klt surfaces in positive characteristic

Abstract

In this paper, we establish a weak version of the Kodaira vanishing theorem for surfaces in positive characteristic. As an application, we obtain some fundamental theorems in the minimal model theory for klt surfaces.

24 pages, v2:minor revision following referee's comments

Cited by in corpus (2)

• Effective Matsusaka's Theorem for surfaces in characteristic p
• On the three dimensional minimal model program in positive characteristic