On the Moduli space of diffeomorphic algebraic surfaces

Abstract

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.

Plain Tex, 41pages

Cited by in corpus (5)

• A simply connected surface of general type with p_g=0 and K^2=2
• A pair of rigid surfaces with $p_g=q=2$ and $K^2=8$ whose universal cover is not the bidisk
• The Yamabe invariant of a class of symplectic manifolds
• Deforming Geometric Transitions
• Moduli spaces and braid monodromy types of bidouble covers of the quadric