Small rational curves on the moduli space of stable bundles

2011/12/24 by Liu, Min
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1112.5693

Abstract

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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• Rational families of vector bundles on curves, II
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