منابع مشابه
On the Log Discrepancies in Mori Contractions
It was conjectured by McKernan and Shokurov that for all Mori contractions from X to Y of given dimensions, for any positive ε there is a positive δ such that if X is ε-log terminal, then Y is δ-log terminal. We prove this conjecture in the toric case and discuss the dependence of δ on ε, which seems mysterious.
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The main purpose of this paper is to prove that minimal discrepancies of n-dimensional toric singularities can accumulate only from above and only to minimal discrepancies of toric singularities of dimension less than n. I also prove that some lower-dimensional minimal discrepancies do appear as such limit.
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We give an upper bound for the minimal discrepancies of hypersurface singularities. As an application, we show that Shokurov’s conjecture is true for log-terminal threefolds.
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We explain the fundamental theorems for the log minimal model program for log canonical pairs.
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We describe the foundation of the log minimal model program for log canonical pairs according to Ambro’s idea. We generalize Kollár’s vanishing and torsion-free theorems for embedded simple normal crossing pairs. Then we prove the cone and contraction theorems for quasi-log varieties, especially, for log canonical pairs.
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 1999
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.1999.v6.n5.a10