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A theorem of Nagata and Mukai/Sakai via Fourier-Mukai transform

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Abstract

We give a new proof of a theorem of Nagata and Mukai/Sakai about line subbundles of high degrees of vector bundles on curves. The main tool is the Fourier-Mukai transformation on the Jacobian of the curve.

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References

  1. S. Mukai, Duality between D(X) and\(D(\hat X)\) with its application to Picard sheaves, Nagoya Mathematical Journal81 (1981), 153–175.

    MATH  MathSciNet  Google Scholar 

  2. S. Mukai and F. Sakai,Maximal subbundles of vector bundles on a curve, Manuscripta Mathematica52 (1985), 251–256.

    Article  MATH  MathSciNet  Google Scholar 

  3. J. S. Milne,Jacobian varieties, inArithmetic Geometry (G. Cornell and J. H. Silverman, eds.), Springer-Verlag, New York, 1986, pp. 167–212.

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  4. D. Mumford,Abelian Varieties, 5th edition, Oxford University Press, Oxford, 1994.

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  5. M. Nagata,On self-intersection number of a section on a ruled surface, Nagoya Mathematical Journal37 (1970), 191–196.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Bonn, Beringstrasse 6, D-53115, Bonn, Germany

    Christian Kaiser

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  1. Christian Kaiser
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Correspondence to Christian Kaiser.

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Kaiser, C. A theorem of Nagata and Mukai/Sakai via Fourier-Mukai transform. Isr. J. Math. 139, 177–181 (2004). https://doi.org/10.1007/BF02787547

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  • DOI: https://doi.org/10.1007/BF02787547

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