English

New outlook on the Minimal Model Program, II

Algebraic Geometry 2013-05-08 v3

Abstract

We prove that the finite generation of adjoint rings proved in [Cascini and Lazi\'c] implies all the foundational results of the Minimal Model Program: the Rationality, Cone and Contraction theorems, the existence of flips, and termination of flips with scaling in the presence of a big boundary.

Cite

@article{arxiv.1005.0614,
  title  = {New outlook on the Minimal Model Program, II},
  author = {Alessio Corti and Vladimir Lazić},
  journal= {arXiv preprint arXiv:1005.0614},
  year   = {2013}
}

Comments

to appear in Math. Ann

R2 v1 2026-06-21T15:18:32.794Z