The projectivity of the moduli space of stable curves, II: The stacks M...
Finn F. Knudsen (1983)
Mathematica Scandinavica
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Finn F. Knudsen (1983)
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J. Harris, I. Morrison (1990)
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Joe Harris, David Mumford (1982)
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Naoki Murabayashi (1994)
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William Fulton (1982)
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Fontanari, Claudio (2001)
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D. Eisenbud, J. Harris (1987)
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Wolfgang K. Seiler (1995)
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Yasutaka Ihara, Hiroaki Nakamura (1997)
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Lucia Caporaso, Filippo Viviani (2011)
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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.
Atsushi Moriwaki (1996)
Journal für die reine und angewandte Mathematik
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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.
Cornalba, Maurizio (1998)
Documenta Mathematica
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M.D.T. Cornalba (1993)
Journal für die reine und angewandte Mathematik
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