Surfaces Isogenous to a Product: Their Automorphisms and Degenerations

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.

Level thesis:degree_level

thesis.doctoral

Grantor dc:publisher

Universität Bayreuth

Year

2010

Author dc:creator

• Liu, Wenfei

Contributors dc:contributor

• Catanese, Fabrizio

Repository record source_url

https://epub.uni-bayreuth.de/id/eprint/440/

OAI identifier oai:identifier

oai:epub.uni-bayreuth.de:440