The projectivity of the moduli space of stable curves, II: The stacks M...
Finn F. Knudsen (1983)
Mathematica Scandinavica
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Displaying similar documents to “The projectivity of the moduli space of stable curves. I: Preliminaries on 'det' and 'Div'.”
The projectivity of the moduli space of stable curves, II: The stacks M...
The projectivity of the moduli space of stable curves, III: The line bundles on M..., and a proof of the projectivity of M... in characteristic 0.
Finn F. Knudsen (1983)
Mathematica Scandinavica
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Slopes of effective divisors on the moduli space of stable curves.
J. Harris, I. Morrison (1990)
Inventiones mathematicae
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On the Irreducibility of the Moduli Space of Curves. Appendix to the Paper of Harris and Mumford.
William Fulton (1982)
Inventiones mathematicae
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On the projectivity of the moduli spaces of curves.
M.D.T. Cornalba (1993)
Journal für die reine und angewandte Mathematik
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Homogeneous Connections and Moduli Spaces.
Henrik Karstoft (1992)
Mathematica Scandinavica
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Moduli of curves via algebraic geometry.
Fontanari, Claudio (2001)
Rendiconti del Seminario Matematico
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On an Absolut Constant Pertaining to Cauchy's 'Principal Moduli' in Bounded Power Series.
Günther Schlenstedt (1962)
Mathematica Scandinavica
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On an absolute constant pertaining to Cauchy's "principal moduli" in bounded power series
AUREL WINTNER (1956)
Mathematica Scandinavica
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On the Kodaira Dimension of the Moduli Space of Curves.
Joe Harris, David Mumford (1982)
Inventiones mathematicae
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The Kodaira dimension of the moduli space of curves of genus ... 23.
D. Eisenbud, J. Harris (1987)
Inventiones mathematicae
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On deformation of maximally degenerate stable marked curves and Oda's problem.
Yasutaka Ihara, Hiroaki Nakamura (1997)
Journal für die reine und angewandte Mathematik
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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.