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On the Moduli space of diffeomorphic algebraic surfaces

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arxiv math/9802088 v1 pith:7CVFTBP6 submitted 1998-02-18 math.AG

On the Moduli space of diffeomorphic algebraic surfaces

classification math.AG
keywords surfacesabelianalgebraicarbitrarilycomplexconsideredcoversdeformation
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It is proved that the number of deformation types of complex structures on a fixed oriented smooth four-manifold can be arbitrarily large. The considered examples are locally simple abelian covers of rational surfaces.

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