English

Minimal model theory for log surfaces

Algebraic Geometry 2011-08-19 v3

Abstract

We discuss the log minimal model theory for log surfaces. We show that the log minimal model program, the finite generation of log canonical rings, and the log abundance theorem for log surfaces hold true under assumptions weaker than the usual framework of the log minimal model theory.

Keywords

Cite

@article{arxiv.1001.3902,
  title  = {Minimal model theory for log surfaces},
  author = {Osamu Fujino},
  journal= {arXiv preprint arXiv:1001.3902},
  year   = {2011}
}

Comments

34 pages, v2: Section 8 is new, v3: minor revision

R2 v1 2026-06-21T14:37:50.992Z