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

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

2010-07-14

arxiv.org/abs/1007.2308v1

Mathematics

Algebraic Geometry

To appear in Proceedings of the Japanese Academy of Science

Scientific paper

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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