Moduli of surfaces with an anti-canonical cycle

By Mark Gross, P. Hacking, S. Keel. Compositio Mathematica, 2012

83 citations recorded by the source corpus.

Abstract We 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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a47f7244d2dddee74cb7d6b7c976f4c8db9681bb

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In Algebra and Number Theory

1. Tom Coates
2. Alexander M. Kasprzyk
3. Alessio Corti

In Computational Theory and Mathematics

1. A. Oneto
2. Tom Coates
3. Alexander M. Kasprzyk
4. Alessio Corti
5. Igor Dolgachev

In Geometry and Topology

1. Tom Coates
2. A. Oneto
3. Alexander M. Kasprzyk
4. Alessio Corti
5. H. Iritani
6. M. Mustaţă
7. Alexander Givental
8. Bumsig Kim

Citations in the corpus

• Mirror symmetry and the classification of orbifold del Pezzo surfaces (2015, result): “This work owes a great deal to conversations with Sergey Galkin, and to the pioneering papers by Galkin–Usnich [16] and Gross–Hacking–Keel [19, 20].”