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Rank four vector bundles without theta divisor over a curve of genus two

  • Christian Pauly
Published/Copyright: April 23, 2010
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Advances in Geometry
From the journal Volume 10 Issue 4

Abstract

We show that the locus of stable rank four vector bundles without theta divisor over a smooth projective curve of genus two is in canonical bijection with the set of theta-characteristics. We give several descriptions of these bundles and compute the degree of the rational theta map.

Received: 2008-05-28
Published Online: 2010-04-23
Published in Print: 2010-October

© de Gruyter 2010

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