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arXiv · 1203.0983

Petri map for vector bundles near good bundles

Abel Castorena·Alberto López Martín·Montserrat Teixidor i Bigas
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Abstract

We show that on a generic curve and under some conditions on the degree and genus, there exists a component B of the locus of stable vector bundles of rank r and degree d with at least k sections of the expected dimension such that for a generic vector bundle E of B, the Petri map is injective.

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Abel Castorena, Alberto López Martín, Montserrat Teixidor i Bigas. 2012-03-05. Petri map for vector bundles near good bundles. https://arxiv.org/abs/1203.0983

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