Remarks on minimal rational curves on moduli spaces of stable bundles

@article{Liu2016RemarksOM,
  title={Remarks on minimal rational curves on moduli spaces of stable bundles},
  author={Min Jing Liu},
  journal={Comptes Rendus Mathematique},
  year={2016},
  volume={354},
  pages={1013-1017}
}
  • M. Liu
  • Published 2016
  • Mathematics
  • Comptes Rendus Mathematique
Abstract Let C be a smooth projective curve of genus g ≥ 2 over an algebraically closed field of characteristic zero, and M be the moduli space of stable bundles of rank 2 and with fixed determinant L of degree d on the curve C . When g = 3 and d is even, we prove that, for any point [ W ] ∈ M , there is a minimal rational curve passing through [ W ] , which is not a Hecke curve. This complements a theorem of Xiaotao Sun. 
Rational Curves on Moduli Spaces of Vector Bundles
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