English

Blow-ups of canonical singularities

Algebraic Geometry 2010-05-04 v5

Abstract

In this paper we apply Shokurov's inductive method to study terminal and canonical singularities. As an easy consequence of the Minimal Model Program we show that for any three-dimensional log terminal singularity there exists some special, so called, plt blow-up. We discuss properties of them and construct some examples.

Keywords

Cite

@article{arxiv.math/9810097,
  title  = {Blow-ups of canonical singularities},
  author = {Yuri G. Prokhorov},
  journal= {arXiv preprint arXiv:math/9810097},
  year   = {2010}
}

Comments

17 pages, LaTeX2e, few errors are corrected

R2 v1 2026-07-22T18:00:30.422Z