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

By S'andor J. Kov'acs, Karl Schwede. 2009

61 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8f8e051e6226fb6feb127f1a8f9135f7266054e8

How researchers see this paper

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In Geometry and Topology

1. Stefan Kebekus
2. T. Peternell
3. D. Greb
4. S'andor J. Kov'acs
5. S. Druel
6. Henri Guenancia
7. O. Fujino
8. N. Hara

In Mathematical Physics

1. Stefan Kebekus
2. D. Greb
3. T. Peternell
4. S'andor J. Kov'acs
5. Henri Guenancia
6. S. Druel
7. Chenyang Xu

Citations in the corpus

• Differential forms on log canonical spaces (2010, background): “Other useful references are the recent book [PS08] and the survey [KS09].”