Existence of minimal models for varieties of log general type

Caucher Birkar; Paolo Cascini; Christopher D. Hacon; James McKernan

Existence of minimal models for varieties of log general type

Algebraic Geometry 2008-08-14 v2

Authors: Caucher Birkar , Paolo Cascini , Christopher D. Hacon , James McKernan

View on arXiv ↗ PDF ↗

Abstract

We prove that the canonical ring of a smooth projective variety is finitely generated.

Keywords

minimal models varieties of log general type canonical ring smooth projective variety finite generation

Cite

@article{arxiv.math/0610203,
  title  = {Existence of minimal models for varieties of log general type},
  author = {Caucher Birkar and Paolo Cascini and Christopher D. Hacon and James McKernan},
  journal= {arXiv preprint arXiv:math/0610203},
  year   = {2008}
}