Logarithmic Moduli Spaces for Surfaces of Class VII

Details Logarithmic Moduli Spaces for Surfaces of Class VII Logarithmic Moduli Spaces for Surfaces of Class VII

2007-01-29

arxiv.org/abs/math/0701840v2

Mathematics

Complex Variables

Minor correction of the dimension of the moduli space

Scientific paper

In this paper we describe logarithmic moduli spaces of pairs (S,D) consisting of minimal surfaces S of class VII with positive second Betti number b_2 together with reduced divisors D of b_2 rational curves. The special case of Enoki surfaces has already been considered by Dloussky and Kohler. We use normal forms for the action of the fundamental group of the complement of D and for the associated holomorphic contraction germ from (C^2,0) to (C^2,0).

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