On the reduction of the Hilbert-Blumenthal-moduli scheme with ...(p)-level structure.
Hellmuth Stamm (1997)
Forum mathematicum
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Hellmuth Stamm (1997)
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Angelo Felice Lopez (1991)
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Jarod Alper (2013)
Annales de l’institut Fourier
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We develop the theory of associating moduli spaces with nice geometric properties to arbitrary Artin stacks generalizing Mumford’s geometric invariant theory and tame stacks.
Giuseppe Pareschi (1989)
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G. Trautmann, Rosa María Miró-Roig (1994)
Mathematische Zeitschrift
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Joe Harris, David Mumford (1982)
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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.
Hans Jürgen Hoppe (1983)
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Fontanari, Claudio (2001)
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J. Harris, I. Morrison (1990)
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Marius van der Put (2011)
Banach Center Publications
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This paper is a sequel to [vdP-Sa] and [vdP]. The two classes of differential modules (0,-,3/2) and (-,-,3), related to PII, are interpreted as fine moduli spaces. It is shown that these moduli spaces coincide with the Okamoto-Painlevé spaces for the given parameters. The geometry of the moduli spaces leads to a proof of the Painlevé property for PII in standard form and in the Flaschka-Newell form. The Bäcklund transformations, the rational solutions and the Riccati solutions for PII...
William Fulton (1982)
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T. Figiel (1976)
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D. Zagier, J. Harer (1986)
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Bernd Martin (1993)
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