Small rational curves on the moduli space of stable bundles

@article{Liu2011SmallRC,
  title={Small rational curves on the moduli space of stable bundles},
  author={Min Jing Liu},
  journal={arXiv: Algebraic Geometry},
  year={2011}
}
  • M. Liu
  • Published 2011
  • Mathematics
  • arXiv: Algebraic Geometry
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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