Frobenius inverse image of the semi-stable boundary in the moduli space of vector bundles

Details Frobenius inverse image of the semi-stable boundary in the moduli space of vector bundles Frobenius inverse image of the semi-stable boundary in the moduli space of vector bundles

2009-04-08

arxiv.org/abs/0904.1274v2

Mathematics

Algebraic Geometry

25 pages

Scientific paper

We study stable rank 2 vector bundles with trivial determinant whose Frobenius pull back is non stable over a general curve of genus g>1. In genus 2, we apply recent results about the theta divisor associated to the bundle B of locally exact differential forms and we derive a scheme-theoretic description of the Frobenius inverse image of the semi-stable boundary of the moduli space.

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