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Jet schemes and singularities

By Lawrence Ein and Mircea Mustata

Abstract

We give a self-contained presentation of the basic results on jet schemes of singular varieties. Applications are given to invariants of singularities, such as minimal log discrepancies. We simplify our older approach to Inversion of adjunction for locally complete intersection varieties, and we prove a more general result for arbitrary Q-Gorenstein varieties embeded in nonsingular varieties (this statement has been proved independently also by Kawakita) .Comment: 42 pages; v2: revised version, to appear in the proceedings of the 2005 AMS Summer Research Institute in Algebraic Geometr

Topics: Mathematics - Algebraic Geometry, 14B05, 14E30
Year: 2008
OAI identifier: oai:arXiv.org:math/0612862

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