Remarks on minimal rational curves on moduli spaces of stable bundles
Algebraic Geometry
2015-05-05 v1
Abstract
Let M be the moduli space of stable bundles of rank 2 and with fixed determinant \mathcal{L} of degree d on a smooth projective curve C of genus g>= 2. When g=3 and d is even, we prove, for any point [W]\in M, there is a minimal rational curve passing through [W], which is not a Hecke curve. This complements a theorem of Xiaotao Sun.
Keywords
Cite
@article{arxiv.1505.00629,
title = {Remarks on minimal rational curves on moduli spaces of stable bundles},
author = {Liu Min},
journal= {arXiv preprint arXiv:1505.00629},
year = {2015}
}