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Exceptional singularities

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  • UserIvan Cheltsov (Edinburgh)
  • ClockWednesday 24 February 2010, 14:15-15:15
  • HouseMR13, CMS.

If you have a question about this talk, please contact Burt Totaro.

Exceptional two-dimensional singularities are singularities of type E_6, E_7 and E_8. Exceptional three-dimensional quotient singularities have been classified by Yuri Prokhorov and Dima Markushevich. We show how to use the idea of Kollar to prove that exceptional singularities exist in all dimensions. We show how to use the Nadel-Shokurov vanishing theorem and the Kawamata subadjunction theorem to classify exceptional quotient singularities of dimensions 4,5 and 6. This is joint work with Kostya Shramov.

This talk is part of the Algebraic Geometry Seminar series.

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