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arxiv: 1208.3271 · v2 · pith:IXBO5UIVnew · submitted 2012-08-16 · 🧮 math.AG

On the Log Discrepancies in Toric Mori Contractions

classification 🧮 math.AG
keywords contractionsdeltaepsilonmoripositiveterminaltoriccase
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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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