Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces.
Lothar Göttsche (1996)
Mathematische Zeitschrift
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Lothar Göttsche (1996)
Mathematische Zeitschrift
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Zhenbo Qin (1993)
Manuscripta mathematica
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Akira Ishii (1992)
Mathematische Annalen
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Bruzzo, Ugo, Markushevish, Dimitri (2011)
Documenta Mathematica
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Marcin Hauzer (2010)
Annales Polonici Mathematici
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We describe some one-dimensional moduli spaces of rank 2 Gieseker semistable sheaves on an Enriques surface improving earlier results of H. Kim. In the case of a nodal Enriques surface the moduli spaces obtained are reducible for general polarizations. For unnodal Enriques surfaces we show how to reduce the study of moduli spaces of high even rank Gieseker semistable sheaves to low ranks. To prove this we use the method of K. Yoshioka who showed that in the odd rank case, one can reduce...
Charles H. Walter (1995)
Mathematische Annalen
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Zhenbo Qin (1992)
Journal für die reine und angewandte Mathematik
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Zhenbo Qin (1991)
Manuscripta mathematica
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Christian Okonek (1983)
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.
R. Silhol, P. Buser, M. Seppälä (1995)
Manuscripta mathematica
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Zhenbo Qin (1991)
Manuscripta mathematica
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Rizov, Jordan (2006)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 14J28, 14D22. In this note we define moduli stacks of (primitively) polarized K3 spaces. We show that they are representable by Deligne-Mumford stacks over Spec(Z). Further, we look at K3 spaces with a level structure. Our main result is that the moduli functors of K3 spaces with a primitive polarization of degree 2d and a level structure are representable by smooth algebraic spaces over open parts of Spec(Z). To do this we use ideas...
Toma, Matei (2001)
Documenta Mathematica
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Francesco Bottacin (2009)
Rendiconti del Seminario Matematico della Università di Padova
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Rick Miranda (1981)
Mathematische Annalen
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Hans Jürgen Hoppe (1983)
Mathematische Annalen
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