Pure Maths Colloquium: Algebraic surfaces and hyperbolic geometry
8 December 2008 16:15 in CM221
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.
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