English

Seminormal log centers and deformations of pairs

Algebraic Geometry 2011-05-20 v3

Abstract

We show that some properties of log canonical centers of a log canonical pair (X,D) also hold for certain subvarieties that are close to being a log canonical center. As a consequence, we obtain that if one works with deformations of pairs (X, D) where all the coefficients of D are bigger than 1/2, then one need not worry about embedded points on D. May 20: Results strengthened using recent work of Birkar and Hacon and Xu.

Keywords

Cite

@article{arxiv.1103.0528,
  title  = {Seminormal log centers and deformations of pairs},
  author = {János Kollár},
  journal= {arXiv preprint arXiv:1103.0528},
  year   = {2011}
}