Geodesic
Torelli theorem for stable curves
Journal of the European Mathematical Society, Tome 13 (2011) no. 5, pp. 1289-1329

Voir la notice de l'article provenant de la source EMS Press

We study the Torelli morphism from the moduli space of stable curves to the moduli space of principally polarized stable semi-abelic pairs. We give two characterizations of its fibers, describe its injectivity locus, and give a sharp upper bound on the cardinality of finite fibers. We also bound the dimension of infinite fibers.
DOI : 10.4171/jems/281
Classification : 14-XX, 00-XX
Keywords: Torelli map, Jacobian variety, theta divisor, stable curve, stable semi-abelic pair, compactified Picard scheme, semiabelian variety, moduli space, dual graph 
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     author = {Lucia Caporaso and Filippo Viviani},
     title = {Torelli theorem for stable curves},
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     year = {2011},
     doi = {10.4171/jems/281},
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Lucia Caporaso; Filippo Viviani. Torelli theorem for stable curves. Journal of the European Mathematical Society, Tome 13 (2011) no. 5, pp. 1289-1329. doi: 10.4171/jems/281

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