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Moduli of surfaces with an anti-canonical cycle
- Part of
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- Journal:
- Compositio Mathematica / Volume 151 / Issue 2 / February 2015
- Published online by Cambridge University Press:
- 09 October 2014, pp. 265-291
- Print publication:
- February 2015
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- Article
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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.
