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arXiv · 1007.2308

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

Montserrat Teixidor i Bigas
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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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Montserrat Teixidor i Bigas. 2010-07-14. Existence of vector bundles of rank two with fixed determinant and sections. https://arxiv.org/abs/1007.2308

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