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.
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