Orta Doğu Teknik Üniversitesi ODTÜ-Bilkent Cebirsel Geometri Seminerleri
Computation of automorphism groups of Enriques surfaces
Ichiro Shimada
Hiroshima University, Japonya
By Torelli's theorem for K3 surfaces, the automorphism group of a complex Enriques surface is determined by the Hodge structure of the covering K3 surface. However, in many cases, explicit computations are very heavy and practically infeasible. We give a method by which one can compute a finitely generated set of automorphism groups of various Enriques surfaces and their nef cones. This is a joint work with Simon Brandhorst.
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