English

Birational geometry

Algebraic Geometry 2007-06-14 v1

Abstract

This article contains the notes of a graduate course on birational geometry focusing on the minimal model program. Topics covered include singularities, vanishing, nonvanishing, cone and contraction, base point freeness, finite generation, flips, termination, minimal models and Mori fibre spaces.

Keywords

Cite

@article{arxiv.0706.1794,
  title  = {Birational geometry},
  author = {Caucher Birkar},
  journal= {arXiv preprint arXiv:0706.1794},
  year   = {2007}
}
R2 v1 2026-06-21T08:37:47.520Z