Log canonical thresholds on varieties with bounded singularities

Details Log canonical thresholds on varieties with bounded singularities Log canonical thresholds on varieties with bounded singularities

2010-04-20

arxiv.org/abs/1004.3336v2

Mathematics

Algebraic Geometry

38 pages; v.2: minor changes, to appear in the proceedings of the conference `Classification of algebraic varieties' at Schier

Scientific paper

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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