Moduli of surfaces with an anti-canonical cycle
Algebraic Geometry
2019-02-20 v5
Abstract
We prove a global Torelli theorem for pairs (Y,D), where Y is a smooth projective rational surface and D is an effective anti-canonical divisor which is a cycle of rational curves. This Torelli theorem was conjectured by Friedman in 1984. In addition, we construct natural universal families for such pairs.
Keywords
Cite
@article{arxiv.1211.6367,
title = {Moduli of surfaces with an anti-canonical cycle},
author = {Mark Gross and Paul Hacking and Sean Keel},
journal= {arXiv preprint arXiv:1211.6367},
year = {2019}
}
Comments
Final version. Much simplified proofs. To appear in Compositio