English

Decomposition of log crepant birational morphisms between log terminal surfaces

Algebraic Geometry 2007-05-23 v1

Abstract

We prove that every log crepant birational morphism between log terminal surfaces is decomposed into log-flopping type divisorial contraction morphisms and log blow-downs. Repeating these two kinds of contractions we reach a minimal log minimal surface from any log minimal surface.

Cite

@article{arxiv.math/9906143,
  title  = {Decomposition of log crepant birational morphisms between log terminal surfaces},
  author = {Shigetaka Fukuda},
  journal= {arXiv preprint arXiv:math/9906143},
  year   = {2007}
}

Comments

4 pages, AMSTex v2.1

R2 v1 2026-07-22T18:03:30.962Z