A note on the Brill-Noether loci of small codimension in moduli space of stable bundles

Pritthijit Biswas, Jaya NN Iyer

Let $X$ be a smooth projective curve of genus $g$ over the field $\mathbb{C}$. Let $M_X(2,L)$ denote the moduli space of stable rank $2$ vector bundles on $X$ with fixed determin…