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Selected Works of Paul Hacking
Unpublished Paper
Moduli of Surfaces with an Anti-Canonical Cycle
Compositio Mathematica (2015)
  • Mark Gross
  • Paul Hacking, University of Massachusetts - Amherst
  • Sean Keel
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Abstract

We prove a global torelli theorem for pairs (Y,D) where Y is a smooth projective rational surface and D ∈ |−Ky | is a cycle of rational curves, as conjectured by Friedman in 1984. In addition, we construct natural universal families for such pairs.

Disciplines
Publication Date
2015
Comments
Prepublished version downloaded from arXiv. Published version is located at http://journals.cambridge.org/abstract_S0010437X14007611
Citation Information
Mark Gross, Paul Hacking and Sean Keel. "Moduli of Surfaces with an Anti-Canonical Cycle" Compositio Mathematica (2015)
Available at: http://works.bepress.com/paul_hacking/3/