Existence of vector bundles of rank two with fixed determinant and sections

Existence of vector bundles of rank two with fixed determinant and sections

Montserrat Teixidor i Bigas

Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 86, Number 7 (2010), 113-118.

Abstract

Consider the scheme $B_{2,L}^{k}$ of stable vector bundles of rank two and fixed determinant $L$ which have at least $k$ sections. Under suitable numerical conditions and for generic $L$, we show the existence of a component of the expected dimension of $B_{2,L}^{k}$.

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Primary Subjects: 14H60

Keywords: Vector bundle; Brill-Noether

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1279719311
Digital Object Identifier: doi:10.3792/pjaa.86.113
Mathematical Reviews number (MathSciNet): MR2663652
Zentralblatt MATH identifier: 05835893

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