4 problems

Let $X$ be a hyperkähler variety of K3$^{[n]}$-type with $n\geq 2$. A K3 category is a category of K3 type, and let $\mathcal A_X^{[n]}$ denote its Hilbert-scheme-type construction…

Let $\mathsf{A}$ be the K3 category of the Debarre–Voisin hyperplane section $Y$, and let $T$ and $P$ be the associated congruence of lines and Peskine variety. Let $\mathcal{U}$ a…

Let $Y\subset\operatorname{Gr}(3,V_{10})$ be a very general hyperplane section, and let $\mathsf{A}$ be the K3 subcategory of $\operatorname{D}^b(Y)$ obtained as the semiorthogonal…

Let $W$ be a $7$-dimensional vector space, let $X\subset\operatorname{Gr}(3,W)$ be the $5$-dimensional zero locus of a section of…