3 problems

Let $\overline{\mathscr{B}}$ be the stable pairs compactification of the space of elliptic K3 surfaces, parametrizing pairs $(X,\epsilon S+\delta F)$ for sufficiently small positiv…

Let $\pi:S\to\mathbb{P}^1$ be a complex elliptic K3 surface with a section $\sigma$, let $f$ be its generic fibre, and let $M(t)$ denote the moduli space of rank $2$ stable sheaves…

Let $X$ be an elliptically fibered $K3$ surface with fiber class $f$. For sheaves of ranks $r$ and $s$, let $\mathfrak M_r^a$ and $\mathfrak M_s^b$ be the corresponding moduli spac…