New outlook on the Minimal Model Program, II

By Alessio Corti, Vladimir Lazi'c. 2010

52 citations recorded by the source corpus.

We prove that the finite generation of adjoint rings 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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/39693a779bf8110a2a1aa62d6eaef7bddba905a2