A Riemann--Kempf singularity theorem for higher rank Brill--Noether loci

George H. Hitching

Given a vector bundle $V$ over a curve $X$, we define and study a surjective rational map ${\mathrm{Hilb}}^d(\mathbb{P}V)-{\mathrm{Quot}}^{0,d}(V^{\ast })$ generalising the natural…