Log minimal models according to Shokurov

Abstract

Following Shokurov's ideas, we give a short proof of the following klt version of his result: termination of terminal log flips in dimension d implies that any klt pair of dimension d has a log minimal model or a Mori fibre space. Thus, in particular, any klt pair of dimension 4 has a log minimal model or a Mori fibre space.

6 pages

References in corpus (2)

• Existence of minimal models for varieties of log general type
• Letters of a Bi-Rationalist: VII. Ordered termination

Cited by in corpus (1)

• On termination of log flips in dimension four