Displaying similar documents to “Components with the expected codimension in the moduli scheme of stable spin 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.

Compactifications of moduli spaces of (semi)stable bundles on singular curves: two points of view.

Montserrat Teixidor i Bigas (1998)

Collectanea Mathematica

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Moduli spaces of vector bundles on families of non-singular curves are usually compactified by considering (slope)semistable bundles on stable curves. Alternatively, one could consider Hilbert-stable curves in Grassmannians. We study some properties of the latter and compare them with similar properties of curves coming from the former compactification. This leads to a new interpretation of the moduli space of (semi)stable torsion-free sheaves on a fixed nodal curve. One can present...

On the geometry of moduli of curves and line bundles

Claudio Fontanari (2005)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Here we focus on the geometry of P ¯ d , g , the compactification of the universal Picard variety constructed by L. Caporaso. In particular, we show that the moduli space of spin curves constructed by M. Cornalba naturally injects into P ¯ d , g and we give generators and relations of the rational Picard group of P ¯ d , g , extending previous work by A. Kouvidakis.

Limit Weierstrass schemes on stable curves with 2 irreducible components

Marc Coppens, Letterio Gatto (2001)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We are concerned with limits of Weierstrass points under degeneration of smooth curves to stable curves of non compact type, union of two irreducible smooth components meeting transversely at m ≥ 1 points. The case m = 1 having already been treated by Eisenbud and Harris in [8], we analyze the situation for m > 1 .