Singularities of pairs via jet schemes

Author:
Mircea Mustata

Journal:
J. Amer. Math. Soc. **15** (2002), 599-615

MSC (2000):
Primary 14B05; Secondary 14B10, 14E30

DOI:
https://doi.org/10.1090/S0894-0347-02-00391-0

Published electronically:
February 14, 2002

MathSciNet review:
1896234

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a smooth variety and a closed subscheme. We use motivic integration on the space of arcs of to characterize the fact that is log canonical or log terminal using the dimension of the jet schemes of . This gives a formula for the log canonical threshold of , which we use to prove a result of Demailly and Kollár on the semicontinuity of log canonical thresholds.

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Additional Information

**Mircea Mustata**

Affiliation:
Department of Mathematics, University of California, Berkeley, California 94720 – and – Institute of Mathematics of the Romanian Academy

Address at time of publication:
Clay Mathematics Institute, 1770 Massachusetts Avenue, No. 331, Cambridge, Massachusetts 02140

Email:
mirceamustata@yahoo.com

DOI:
https://doi.org/10.1090/S0894-0347-02-00391-0

Keywords:
Jet schemes,
log canonical threshold,
motivic integration

Received by editor(s):
March 2, 2001

Published electronically:
February 14, 2002

Article copyright:
© Copyright 2002
American Mathematical Society