On the log discrepancies in toric Mori contractions
@inproceedings{Alexeev2012OnTL, title={On the log discrepancies in toric Mori contractions}, author={V. Alexeev and A. Borisov}, year={2012} }
It was conjectured by McKernan and Shokurov that for all Mori contractions from X to Y of given dimensions, for any positive epsilon there is a positive delta, such that if X is epsilon-log terminal, then Y is delta-log terminal. We prove this conjecture in the toric case and discuss the dependence of delta on epsilon, which seems mysterious.
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