Hodge theory meets the minimal model program: a survey of log canonical and Du Bois singularities

Details Hodge theory meets the minimal model program: a survey of log canonical and Du Bois singularities Hodge theory meets the minimal model program: a survey of log canonical and Du Bois singularities

2009-09-05

arxiv.org/abs/0909.0993v1

MSRI Publications -- Volume 58, Topology of Stratified Spaces (2011), p. 51--94

Mathematics

Algebraic Geometry

35 pages. To appear in the Proceedings of the MSRI Workshop on the Topology of Stratified Spaces

Scientific paper

This is a survey of some recent developments in the study of singularities
related to the classification theory of algebraic varieties. In particular, the
definition and basic properties of Du Bois singularities and their connections
to the more commonly known singularities of the minimal model program are
reviewed and discussed.

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