Minimal models, flips and finite generation : a tribute to V.V. SHOKUROV and Y.-T. SIU

Abstract

In this paper, we discuss a proof of existence of log minimal models or Mori fibre spaces for klt pairs $(X/Z,B)$ with $B$ big$/Z$. This then implies existence of klt log flips, finite generation of klt log canonical rings, and most of the other results of Birkar-Cascini-Hacon-McKernan paper.

References in corpus (6)

• Existence of minimal models for varieties of log general type
• A General Non-Vanishing Theorem and an Analytic Proof of the Finite Generation of the Canonical Ring
• Relative critical exponents, non-vanishing and metrics with minimal singularities
• A Bergman kernel proof of the Kawamata subadjunction theorem
• Finite generation of a canonical ring
• Towards finite generation of the canonical ring without the MMP

Cited by in corpus (1)

• On existence of log minimal models and weak Zariski decompositions