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Brivio, Sonja

doi:10.1002/1522-2616(200210)244:1<26::aid-mana26>3.0.co;2-l

Math. Nachr.

2002

DOI: 10.1002/1522-2616(200210)244:1<26::aid-mana26>3.0.co;2-l

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Sonja Brivio

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Families of vector bundles and linear systems of theta divisors

Brivio¹

2017

Int. J. Math.

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Let [Formula: see text] be a smooth complex projective curve of genus [Formula: see text] and let [Formula: see text] be a point. From Hecke correspondence, any stable bundle on [Formula: see text] of rank [Formula: see text] and determinant [Formula: see text] defines a rational family of semistable vector bundles on [Formula: see text] of rank [Formula: see text] and trivial determinant. In this paper, we study linear systems of theta divisors associated to these families.

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Families of vector bundles and linear systems of theta divisors

Brivio¹

2017

Int. J. Math.

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Generated coherent systems and a conjecture of D. C. Butler

et al. 2019

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Let [Formula: see text] be a general generated coherent system of type [Formula: see text] on a general non-singular irreducible complex projective curve. A conjecture of D. C. Butler relates the semistability of [Formula: see text] to the semistability of the kernel of the evaluation map [Formula: see text]. The aim of this paper is to obtain results on the existence of generated coherent systems and use them to prove Butler’s Conjecture in some cases. The strongest results are obtained for type [Formula: see text], which is the first previously unknown case.

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Cited by 2 publications

References 1 publication

Families of vector bundles and linear systems of theta divisors

Families of vector bundles and linear systems of theta divisors

Generated coherent systems and a conjecture of D. C. Butler

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