English

Divisorial contractions of algebraic varieties

Algebraic Geometry 2007-05-23 v2

Abstract

This paper has been withdrawn by the author. It is not true that plt blow-up of toric singularity is toric (in dimension 3 too) and the first main theorem is incorrect also. The error is in deformation argument. I am grateful to Ivan Cheltsov for discussions.

Cite

@article{arxiv.math/0403124,
  title  = {Divisorial contractions of algebraic varieties},
  author = {Sergey A. Kudryavtsev},
  journal= {arXiv preprint arXiv:math/0403124},
  year   = {2007}
}
R2 v1 2026-07-22T17:03:12.735Z