English

Divisorial contractions in dimension three which contract divisors to smooth points

Algebraic Geometry 2009-10-31 v2

Abstract

We deal with a divisorial contraction in dimension 3 which contracts its exceptional divisor to a smooth point. We prove that any such contraction can be obtained by a suitable weighted blow-up.

Keywords

Cite

@article{arxiv.math/0005207,
  title  = {Divisorial contractions in dimension three which contract divisors to smooth points},
  author = {Masayuki Kawakita},
  journal= {arXiv preprint arXiv:math/0005207},
  year   = {2009}
}

Comments

16 pages, the explanation of the Sarkisov program in 0. Introduction is corrected

R2 v1 2026-07-22T16:32:49.550Z