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Algebraic surfaces and hyperbolic geometry

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  • UserBurt Totaro (Cambridge)
  • ClockWednesday 05 November 2008, 14:15-15:15
  • HouseMR13, CMS.

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

The intersection form among curves on a complex algebraic surface always has signature (1,n) for some n. So the automorphism group of an algebraic surface always acts on hyperbolic (n-1)-space. For a class of surfaces including K3 surfaces and many rational surfaces, there is a close connection between the properties of the variety and the corresponding group acting on hyperbolic space.

This talk is part of the Algebraic Geometry Seminar series.

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