Mld’s vs thresholds and flips. (English) Zbl 1194.14020

Birkar, C.; Shokurov, V. V.

J. Reine Angew. Math. 638, 209-234 (2010).

The authors prove that the Log Minimal Model Program, the ascending chain condition conjecture for minimal log discrepancies and the boundedness of canonical Mori-Fano varieties in every dimension up to \(n\) imply the following: the ascending chain condition conjecture a-log canonical thresholds (natural generalization of standard log canonical thresholds) in every dimension up to \(n\), the ascending chain condition conjecture for standard log canonical thresholds in every dimension up to \(n+1\), the termination of log flips for effective log canonical log pairs in every dimension up to \(n+1\).

Reviewer: Ivan Cheltsov (Edinburgh)

MSC:

14E30

Minimal model program (Mori theory, extremal rays)

Keywords:

minimal log discrepancy; log canonical thresholds; log flips

Citations:

Zbl 1107.14012

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