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Logarithmic Moduli Spaces for Surfaces of Class VII
- Publication Year :
- 2007
- Publisher :
- arXiv, 2007.
-
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 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).<br />Comment: Minor correction of the dimension of the moduli space
- Subjects :
- Fundamental group
Pure mathematics
32J15, 32G13, 14D22
Minimal surface
Logarithm
Mathematics - Complex Variables
Betti number
General Mathematics
Holomorphic function
Moduli space
Mathematics - Algebraic Geometry
FOS: Mathematics
Germ
Complex Variables (math.CV)
Contraction (operator theory)
Mathematics::Symplectic Geometry
Algebraic Geometry (math.AG)
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....e0c109b352e4c1c597ad474d682aacfb
- Full Text :
- https://doi.org/10.48550/arxiv.math/0701840