Minimal models and abundance for positive characteristic log surfaces
Algebraic Geometry
2015-03-17 v4
Abstract
We discuss the birational geometry of singular surfaces in positive characteristic. More precisely, we establish the minimal model program and the abundance theorem for Q-factorial surfaces and for log canonical surfaces. Moreover, in the case where the base field is the algebraic closure of a finite field, we obtain the same results under much weaker assumptions.
Keywords
Cite
@article{arxiv.1201.5699,
title = {Minimal models and abundance for positive characteristic log surfaces},
author = {Hiromu Tanaka},
journal= {arXiv preprint arXiv:1201.5699},
year = {2015}
}
Comments
65 pages; v2: minor revision; v3: I fixed the proof of 9.4; v4: the numbering of theorems were largely changed from v3