Ben Gould

collaborators

3 papers

math.AG2023

Cones of effective cycles on blow ups of projective spaces along rational curves

Benjamin Gould, Yeqin Liu

In this paper we examine the cones of effective cycles on blow ups of projective spaces along smooth rational curves. We determine explicitly the cones of divisors and 1- and 2-dim…

math.AG2022

Constructive exceptional bundles on $P^{3}$

Benjamin Gould

We give a complete classification of the Chern characters of constructive exceptional vector bundles on $P^{3}$ analogous to the work of Drézet and Le Potier on $\mathbb{P}^…

math.AG2022

Higher rank Brill-Noether theory on P^2

Benjamin Gould, Yeqin Liu, Dorian Woo-Hyung

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

Cones of effective cycles on blow ups of projective spaces along rational curves

Constructive exceptional bundles on P3

Higher rank Brill-Noether theory on P^2

Constructive exceptional bundles on $P^{3}$