4 problems

Let $\mathbb{P}^3$ be projective three-space, and let $\operatorname{MI}_{\mathbb{P}^3}(k)$ denote the moduli space of instanton bundles on $\mathbb{P}^3$ with second Chern class…

Let $Y$ be a del Pezzo threefold, and let $E$ be an instanton bundle on $Y$, meaning a stable vector bundle of rank two with $c_1(E)=0$ and $H^1(Y,E(-1))=0$. A line $L\subset Y$ is…

Let $F=F(0,1,2)$ be the flag variety, and let $MI_F(k)$ denote the moduli space of instanton bundles on $F$ with charge $k$. Affineness conjecture. $MI_F(k)$ is affine for any $k$.…

Let $c$ be the second Chern class, also called the charge, of a mathematical instanton bundle on $\mathbb{C}\mathbb{P}^{3}$. Let $\mathcal{M}_c$ denote the moduli space of mathemat…