English

Shokurov's boundary property

Algebraic Geometry 2007-05-23 v1

Abstract

For a birational analogue of minimal elliptic surfaces X/Y, the singularities of the fibers define a log structure in codimension one on Y. Via base change, we have a log structure in codimension one on Y', for any birational model Y' of Y. We show that these codimension one log structures glue to a unique log structure, defined on some birational model of Y (Shokurov's BP Conjecture). We have three applications: inverse of adjunction for the above mentioned fiber spaces, the invariance of Shokurov's FGA-algebras under restriction to exceptional lc centers, and a remark on the moduli part of parabolic fiber spaces.

Keywords

Cite

@article{arxiv.math/0210271,
  title  = {Shokurov's boundary property},
  author = {Florin Ambro},
  journal= {arXiv preprint arXiv:math/0210271},
  year   = {2007}
}

Comments

LaTex, 26 pages