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Moduli of torsionfree sheaves of rank two and odd degree on a nodal hyperelliptic curve

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Abstract

Let X be an irreducible nodal projective hyperelliptic curve of arithmetic genus g. We find explicit descriptions of the moduli spaces of stable vector bundles of rank 2 with a fixed determinant of odd degree on X in terms of spaces associated to the singular pencil of quadrics determined by X.

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Correspondence to Usha N. Bhosle.

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I would like to thank P.E. Newstead for a careful reading of the first version of the paper.

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Bhosle, U.N. Moduli of torsionfree sheaves of rank two and odd degree on a nodal hyperelliptic curve. Beitr Algebra Geom 54, 155–179 (2013). https://doi.org/10.1007/s13366-012-0107-5

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  • DOI: https://doi.org/10.1007/s13366-012-0107-5

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