Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(online) ISSN 0894-0347(print)

 

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
Published electronically: February 14, 2002
MathSciNet review: 1896234
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Journal of the American Mathematical Society with MSC (2000): 14B05, 14B10, 14E30

Retrieve articles in all journals with MSC (2000): 14B05, 14B10, 14E30


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: http://dx.doi.org/10.1090/S0894-0347-02-00391-0
PII: S 0894-0347(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