English

The X-method for klt surfaces in positive characteristic

Algebraic Geometry 2012-12-18 v2

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.

Keywords

Cite

@article{arxiv.1202.2497,
  title  = {The X-method for klt surfaces in positive characteristic},
  author = {Hiromu Tanaka},
  journal= {arXiv preprint arXiv:1202.2497},
  year   = {2012}
}

Comments

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

R2 v1 2026-06-21T20:18:09.421Z