Petri map for vector bundles near good bundles

2012/03/05 by Castorena, Abel, Martín, Alberto López, Bigas, Montserrat Teixidor i
#14H51 (Primary) 14H60 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1203.0983

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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