English

Lectures on birational geometry

Algebraic Geometry 2012-10-10 v1

Abstract

Lecture notes of a course on birational geometry (taught at College de France, Winter 2011, with the support of Fondation Sciences Math\'ematiques de Paris). Topics covered: introduction into the subject, contractions and extremal rays, pairs and singularities, Kodaira dimension, minimal model program, cone and contraction, vanishing, base point freeness, flips and local finite generation, pl flips and extension theorems, existence of minimal models and Mori fibre spaces, global finite generation, etc.

Keywords

Cite

@article{arxiv.1210.2670,
  title  = {Lectures on birational geometry},
  author = {Caucher Birkar},
  journal= {arXiv preprint arXiv:1210.2670},
  year   = {2012}
}

Comments

85 pages

R2 v1 2026-06-21T22:18:51.317Z