Minimal rational curves on moduli spaces of stable bundles

@article{Sun2003MinimalRC,
  title={Minimal rational curves on moduli spaces of stable bundles},
  author={Xiaotao Sun},
  journal={Mathematische Annalen},
  year={2003},
  volume={331},
  pages={925-937}
}
  • Xiaotao Sun
  • Published 2003
  • Mathematics
  • Mathematische Annalen
Let C be a smooth projective curve of genus g ≥ 2 and L be a line bundle on C of degree d. Let M := UC(r,L) be the moduli space of stable vector bundles on C of rank r and with the fixed determinant L. Assume that (r, d) = 1, then M is a smooth projective Fano variety with Picard number 1. For any projective curve on M , we can define its degree with respect to the ample anti-canonical line bundle −KM . The first result of this paper determines all rational curves of minimal degree passing… Expand
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