Tensor product of coherent systems

Details Tensor product of coherent systems Tensor product of coherent systems

2007-11-26

arxiv.org/abs/0711.3944v1

Mathematics

Algebraic Geometry

22 pages

Scientific paper

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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