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arXiv · 2101.06681

Excess dimensions for Brill-Noether schemes of stable vector bundles

Ali Bajravani
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Abstract

We extend a result by Fulton-Harris-Lazarsfeld in Brill-Noehter theory of line bundles and, as well, a result by Aprod-Sernesi in theory of Secant Loci, to the Brill-Noehter locus of stable bundles inside the moduli space of higher rank stable vector bundles on a smooth projective algebraic curve. We give some consequences of this extended result.

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Ali Bajravani. 2021-01-17. Excess dimensions for Brill-Noether schemes of stable vector bundles. https://arxiv.org/abs/2101.06681

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