The Betti numbers of the moduli space of stable sheaves of rank 2 on a ruled surface.
Kota Yoshioka (1995)
Mathematische Annalen
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Kota Yoshioka (1995)
Mathematische Annalen
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Hans Jürgen Hoppe (1983)
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Lothar Göttsche (1996)
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Mitsuhiro Itoh (1986)
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Edoardo Ballico (1994)
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Rick Miranda (1981)
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Youliang Tian (1994)
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Tohru Nakashima (1993)
Mathematische Zeitschrift
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Yun-Gang Ye (1993)
Mathematische Annalen
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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...
Miles Reid (1987)
Mathematische Annalen
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Zhenbo Qin (1992)
Journal für die reine und angewandte Mathematik
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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...
Oswald Riemenschneider, Ancus Röhr (1990)
Mathematische Annalen
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Arthur E. Fischer, Anthony J. Tromba (1984)
Mathematische Annalen
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P.J. Braam, A. Maciocia, A. Todorov (1992)
Inventiones mathematicae
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