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

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

2008-04-18

arxiv.org/abs/0804.3001v1

Mathematics

Algebraic Geometry

8 pages

Scientific paper

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.

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