Displaying similar documents to “Torelli theorem for stable 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.

On the moduli b-divisors of lc-trivial fibrations

Osamu Fujino, Yoshinori Gongyo (2014)

Annales de l’institut Fourier

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Roughly speaking, by using the semi-stable minimal model program, we prove that the moduli part of an lc-trivial fibration coincides with that of a klt-trivial fibration induced by adjunction after taking a suitable generically finite cover. As an application, we obtain that the moduli part of an lc-trivial fibration is b-nef and abundant by Ambro’s result on klt-trivial fibrations.

Algebraic complete integrability of an integrable system of Beauville

Jun-Muk Hwang, Yasunari Nagai (2008)

Annales de l’institut Fourier

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We show that the Beauville’s integrable system on a ten dimensional moduli space of sheaves on a K3 surface constructed via a moduli space of stable sheaves on cubic threefolds is algebraically completely integrable, using O’Grady’s construction of a symplectic resolution of the moduli space of sheaves on a K3.