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Logarithmic Moduli Spaces for Surfaces of Class VII

Karl Oeljeklaus, Matei Toma

math.CVarXiv:math/0701840

Abstract

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 b2 together with reduced divisors D of b2 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 (C2,0) to (C2,0).

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