Moduli of surfaces with an anti-canonical cycle

Author:

Gross Mark,Hacking Paul,Keel Sean

Abstract

AbstractWe prove a global Torelli theorem for pairs$(Y,D)$where$Y$is a smooth projective rational surface and$D\in |-K_{Y}|$is a cycle of rational curves, as conjectured by Friedman in 1984. In addition, we construct natural universal families for such pairs.

Publisher

Wiley

Subject

Algebra and Number Theory

Reference15 articles.

1. [GHK11] M. Gross , P. Hacking and S. Keel , Mirror symmetry for log CY surfaces I, Preprint (2011),arXiv:1106.4977v2.

2. [GHK13] M. Gross , P. Hacking and S. Keel , Birational geometry of cluster algebras, Algebraic Geometry, to appear, arXiv:1309.2573v2.

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