منابع مشابه
Minimal Discrepancies of Toric Singularities
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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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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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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In [2], Alexeev constructed a proper moduli space of polarized toric varieties. However, in addition to the main component containing the toric varieties, there were additional irreducible components which were tricky to eliminate in a canonical way. Later, Olsson [1] showed how adding a log structure to the toric varieties under consideration effectively restricted the problem enough to single...
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ژورنال
عنوان ژورنال: Central European Journal of Mathematics
سال: 2006
ISSN: 1895-1074,1644-3616
DOI: 10.2478/s11533-006-0013-x