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Moduli of surfaces with an anti-canonical cycle
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Moduli of surfaces with an anti-canonical cycle
classification
math.AG
keywords
anti-canonicalcyclepairsrationaltheoremtorelliadditionconjectured
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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.
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