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

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 $$n+1$$.

### MSC:

 1.4e+31 Minimal model program (Mori theory, extremal rays)

Zbl 1107.14012
Full Text:

### References:

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