English

Toward an inductive description of singularities of pairs

Algebraic Geometry 2010-04-23 v2

Abstract

Motivated by Shokurov's ACC Conjecture for log canonical thresholds, we propose an inductive point of view on singularities of pairs, in the case when the ambient variety is smooth. Our main result characterizes the log canonicity of a pair in dimension N+1 by the log canonicity of another pair (not effective, in general) in dimension N.

Keywords

Cite

@article{arxiv.0809.2352,
  title  = {Toward an inductive description of singularities of pairs},
  author = {Mircea Mustata},
  journal= {arXiv preprint arXiv:0809.2352},
  year   = {2010}
}

Comments

26 pages; v2: minor revisions, to appear in Journal of Algebraic Geometry