Remarks on minimal rational curves on moduli spaces ofstable bundles

Let Cbe 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 don the curve C. When g = 3 and d is even, we prove that, for any point [W] is an element of M, there is a minimal rational curve passing through [W], which is not a Hecke curve. This complements a theorem of Xiaotao Sun. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.