Geodesic
Torelli theorem for stable curves
Journal of the European Mathematical Society, Tome 13 (2011) no. 5, pp. 1289-1329 Cet article a éte moissonné depuis la source EMS Press

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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 
@article{JEMS_2011_13_5_a2,
     author = {Lucia Caporaso and Filippo Viviani},
     title = {Torelli theorem for stable curves},
     journal = {Journal of the European Mathematical Society},
     pages = {1289--1329},
     year = {2011},
     volume = {13},
     number = {5},
     doi = {10.4171/jems/281},
     url = {http://geodesic.mathdoc.fr/articles/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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