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Fri, 19 Mar 2010 11:39:55 +0100Fri, 19 Mar 2010 11:39:55 +0100Surfaces Isogenous to a Product: Their Automorphisms and Degenerations
http://opus4.kobv.de/opus4-ubbayreuth/frontdoor/index/index/docId/540
In this thesis, I consider the automorphisms and stable degenerations of surfaces isogenous to a product. First I consider the action of the automorphisms on cohomology in the case where the group G is abelian. It is shown that, if the irregularity of the surface is larger than 1, the action of G on the second cohomology is mostly faithful. For surfaces with irregularity 0 or 1, examples are given. Then I consider the stable degenerations of surfaces isogenous to a product and classify the possible singularities on them. As a result, I show that the Q-Gorenstein deformations of the degenerations with certain singuarities are unobstructed and get some connected components of the moduli space of stable surfaces.Wenfei Liudoctoralthesishttp://opus4.kobv.de/opus4-ubbayreuth/frontdoor/index/index/docId/540Fri, 19 Mar 2010 11:39:55 +0100