A new compactification of the moduli space of curves
David Schubert (1991)
Compositio Mathematica
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David Schubert (1991)
Compositio Mathematica
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J. Harris, I. Morrison (1990)
Inventiones mathematicae
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Edoardo Ballico (2015)
Annales UMCS, 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
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.
Finn F. Knudsen (1983)
Mathematica Scandinavica
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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.
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.
Joe Harris, David Mumford (1982)
Inventiones mathematicae
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D. Eisenbud, J. Harris (1987)
Inventiones mathematicae
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William Fulton (1982)
Inventiones mathematicae
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Atsushi Moriwaki (1996)
Journal für die reine und angewandte Mathematik
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