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

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Compositio Mathematica

Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, University of Chicago, IL, 60637, U.S.A.

    Sándor J. Kovács

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  1. Sándor J. Kovács
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Kovács, S.J. Rational, Log Canonical, Du Bois Singularities II: Kodaira Vanishing and Small Deformations. Compositio Mathematica 121, 297–304 (2000). https://doi.org/10.1023/A:1001830707422

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