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Displaying similar documents to “A sharp slope inequality for general stable fibrations of curves.”

Components with the expected codimension in the moduli scheme of stable spin curves

Edoardo Ballico (2015)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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Here we study the Brill–Noether theory of “extremal” Cornalba’s theta-characteristics on stable curves C of genus g, where “extremal” means that they are line bundles on a quasi-stable model of C with #(Sing(C)) exceptional components.

Torelli theorem for stable curves

Lucia Caporaso, Filippo Viviani (2011)

Journal of the European Mathematical Society

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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.