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Rational, Log Canonical, Du Bois Singularities II: Kodaira Vanishing and Small Deformations

Published online by Cambridge University Press:  04 December 2007

Sándor J. Kovács
Sándor J. Kovács
Affiliation:
Department of Mathematics, University of Chicago, IL 60637, U.S.A. E-mail: kovacs@math.uchicago.edu or skovacs@member.ams.org
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Abstract

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Kollár's conjecture, that log canonical singularities are Du Bois, is proved in the case of Cohen–Macaulay 3-folds. This in turn is used to derive Kodaira vanishing for this class of varieties. Finally it is proved that small deformations of Du Bois singularities are again Du Bois.

Keywords

singularitiesrationallog canonicalDu Bois
Type
Research Article
Information
Compositio Mathematica , Volume 121 , Issue 3 , May 2000 , pp. 297 - 304
Copyright
© 2000 Kluwer Academic Publishers