# 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.
4 Citations
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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 determinantExpand
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Let $M$ be the moduli space of rank 3 stable bundles with fixed determinant of degree 1 on a smooth projective curve of genus $g\geq 2$. When $C$ is generic, we show that any essential elliptic curveExpand
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• 2013

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