Stable Degenerations of Surfaces Isogenous to a Product II

Details Stable Degenerations of Surfaces Isogenous to a Product II Stable Degenerations of Surfaces Isogenous to a Product II

2009-11-26

arxiv.org/abs/0911.5177v3

Mathematics

Algebraic Geometry

17 pages; the preliminary part is made more concise. Accecpted by Transactions of the American Mathematical Society

Scientific paper

In this note, we describe the possible singularities on a stable surface
which is in the boundary of the moduli space of surfaces isogenous to a
product. Then we use the $\mathbb Q$-Gorenstein deformation theory to get some
connected components of the moduli space of stable surfaces.

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