English

On the Log Discrepancies in Toric Mori Contractions

Algebraic Geometry 2013-02-08 v2

Abstract

It was conjectured by McKernan and Shokurov that for all Mori contractions from X to Y of given dimensions, for any positive epsilon there is a positive delta, such that if X is epsilon-log terminal, then Y is delta-log terminal. We prove this conjecture in the toric case and discuss the dependence of delta on epsilon, which seems mysterious.

Keywords

Cite

@article{arxiv.1208.3271,
  title  = {On the Log Discrepancies in Toric Mori Contractions},
  author = {Valery Alexeev and Alexander Borisov},
  journal= {arXiv preprint arXiv:1208.3271},
  year   = {2013}
}

Comments

8 pages, no figures. 2nd version: some typos corrected