On the existence of components of the Hilbert scheme with the expected number of moduli.
Angelo Felice Lopez (1991)
Mathematische Annalen
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Angelo Felice Lopez (1991)
Mathematische Annalen
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M.L. Brown (1992)
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Hans Jürgen Hoppe (1983)
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Youliang Tian (1994)
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Hellmuth Stamm (1997)
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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...
Francesco Bottacin (2009)
Rendiconti del Seminario Matematico della Università di Padova
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G. Trautmann, Rosa María Miró-Roig (1994)
Mathematische Zeitschrift
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Francesco Sala (2012)
Open Mathematics
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We provide generalizations of the notions of Atiyah class and Kodaira-Spencer map to the case of framed sheaves. Moreover, we construct closed two-forms on the moduli spaces of framed sheaves on surfaces. As an application, we define a symplectic structure on the moduli spaces of framed sheaves on some birationally ruled surfaces.
Carlos T. Simpson (1994)
Publications Mathématiques de l'IHÉS
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Mitsuhiro Itoh (1986)
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Rick Miranda (1981)
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Bruzzo, Ugo, Markushevish, Dimitri (2011)
Documenta Mathematica
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Miles Reid (1987)
Mathematische Annalen
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