Higher rank Brill-Noether theory on P^2

Benjamin Gould, Yeqin Liu, Dorian Woo-Hyung

Let $M_{{\mathbb{P}}^2}(v)$ be a moduli space of semistable sheaves on ${\mathbb{P}}^2$, and let $B^k(v)\subseteq M_{{\mathbb{P}}^2}(v)$ be the \textit{Brill-Noether locus} of sheaves $…