Toward an inductive description of singularities of pairs

Details Toward an inductive description of singularities of pairs Toward an inductive description of singularities of pairs

2008-09-13

arxiv.org/abs/0809.2352v2

Mathematics

Algebraic Geometry

26 pages; v2: minor revisions, to appear in Journal of Algebraic Geometry

Scientific paper

Motivated by Shokurov's ACC Conjecture for log canonical thresholds, we
propose an inductive point of view on singularities of pairs, in the case when
the ambient variety is smooth. Our main result characterizes the log canonicity
of a pair in dimension N+1 by the log canonicity of another pair (not
effective, in general) in dimension N.

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