Torelli theorem for stable curves

• Autores: Lucia Caporaso, Filippo Viviani
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 13, Nº 5, 2011, págs. 1289-1329
• Idioma: inglés
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• Resumen

  • 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.