Small rational curves on the moduli space of stable bundles

Details Small rational curves on the moduli space of stable bundles Small rational curves on the moduli space of stable bundles

2011-12-24

arxiv.org/abs/1112.5693v1

Mathematics

Algebraic Geometry

Scientific paper

For a smooth projective curve C with genus g >= 2 and a degree 1 line bundle L on C, let M := SU_{C}(r;L) be the moduli space of stable vector bundles of rank r and with the fixed determinant L. In this paper, we study the small rational curves on M and estimate the codimension of the locus of the small rational curves. In particular, we determine all small rational curves when r = 3.

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