On the moduli space of diffeomorphic algebraic surfaces
نویسنده
چکیده
In this paper we show that the number of deformation types of complex structures on a fixed smooth oriented four-manifold can be arbitrarily large. The examples that we consider in this paper are locally simple abelian covers of rational surfaces. The proof involves the algebraic description of rational blow down, classical Brill-Noether theory and deformation theory of normal flat abelian covers.
منابع مشابه
Moduli spaces of surfaces and real structures
We give infinite series of groups Γ and of compact complex surfaces of general type S with fundamental group Γ such that 1) any surface S′ with the same Euler number as S, and fundamental group Γ, is diffeomorphic to S 2) the moduli space of S consists of exactly two connected components, exchanged by complex conjugation. Whence, i) on the one hand we give simple counter-examples to the DEF = D...
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تاریخ انتشار 2008