Classification of Vector Bundles of Rank 2 on Hyperelliptic Curves
S. Ramanan, U.V. Desale (1976)
Inventiones mathematicae
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S. Ramanan, U.V. Desale (1976)
Inventiones mathematicae
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M.S. Narasimhan, H Lange (1984)
Mathematische Annalen
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Herbert Lange (1978)
Mathematische Annalen
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Vassil Kanev (1996)
Mathematische Zeitschrift
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Constantin Banica, Nicolae Manolache (1985)
Mathematische Zeitschrift
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Francis J. Sullivan (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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A simple calculation of the Hasse-Witt matrix is used to give examples of curves which are Kummer coverings of the projective line and which have easily determined p-rank. A family of curve carrying non-classical vector bundles of rank 2 is also given.
Mohan N. Kumar (1991)
Inventiones mathematicae
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Ballico, E. (2005)
Lobachevskii Journal of Mathematics
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Montserrat Teixidor i Bigas (1992)
Manuscripta mathematica
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W. Barth (1981)
Mathematische Annalen
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Thomas Peternell (1990)
Mathematische Zeitschrift
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Carlo Madonna (2000)
Revista Matemática Complutense
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In this paper all non-splitting rank-two vector bundles E without intermediate cohomology on a general quartic hypersurface X in P are classified. In particular, the existence of some curves on a general quartic hypersurface is proved.
Mei-Chu Chang (1983)
Mathematische Zeitschrift
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