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arxiv: 0804.3001 · v1 · submitted 2008-04-18 · 🧮 math.AG

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

classification 🧮 math.AG
keywords bundlesthetacurvedivisorfourgenusrankvector
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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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