English

New outlook on the Minimal Model Program, I

Algebraic Geometry 2019-12-19 v2

Abstract

We give a new and self-contained proof of the finite generation of adjoint rings with big boundaries. As a consequence, we show that the canonical ring of a smooth projective variety is finitely generated.

Keywords

Cite

@article{arxiv.1009.3188,
  title  = {New outlook on the Minimal Model Program, I},
  author = {Paolo Cascini and Vladimir Lazić},
  journal= {arXiv preprint arXiv:1009.3188},
  year   = {2019}
}

Comments

to appear in Duke Math. J

R2 v1 2026-06-21T16:14:50.989Z