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arXiv · 0711.3944

Tensor product of coherent systems

L. Brambila-Paz·Angela Ortega
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Abstract

Let X be a smooth algebraic curve of genus g>=2. A stable vector bundle over X of degree d, rank n with at least k sections is called a Brill-Noether bundle of type (n,d,k). By tensoring coherent systems, we prove that most of the known Brill-Noether bundles define coherent systems of type (n,d,k) that are alpha-stables for all allowable alpha .

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L. Brambila-Paz, Angela Ortega. 2007-11-26. Tensor product of coherent systems. https://arxiv.org/abs/0711.3944

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