Moduli of surfaces with an anti-canonical cycle

Autor: Gross, Mark, Hacking, Paul, Keel, Sean
Rok vydání: 2012
Předmět:
Zdroj: Compositio Math. 151 (2015) 265-291
Druh dokumentu: Working Paper
DOI: 10.1112/S0010437X14007611
Popis: 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.
Comment: Final version. Much simplified proofs. To appear in Compositio
Databáze: arXiv