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arXiv · 1004.3336

Log canonical thresholds on varieties with bounded singularities

Tommaso de Fernex·Lawrence Ein·Mircea Mustata
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Abstract

We consider pairs (X,A), where X is a variety with klt singularities and A is a formal product of ideals on X with exponents in a fixed set that satisfies the Descending Chain Condition. We also assume that X has (formally) bounded singularities, in the sense that it is, formally locally, a subvariety in a fixed affine space defined by equations of bounded degree. We prove in this context a conjecture of Shokurov, predicting that the set of log canonical thresholds for such pairs satisfies the Ascending Chain Condition.

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Tommaso de Fernex, Lawrence Ein, Mircea Mustata. 2010-06-24. Log canonical thresholds on varieties with bounded singularities. https://arxiv.org/abs/1004.3336

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