3 problems

Let $k$ be a field and let $F\in LAff_k^{\sim,ffqc}$ be a schematic homotopy type. Let $i(F)$ be its image among stacks over $Hk$, and let $LParf(i(F))$ be the associated $k$-tenso…

Let $k$ be a field and let $(X\otimes k)^{sch}\in LAff_k^{\sim,ffqc}$ be the schematic homotopy type associated with a connected finite CW complex $X$, and let $LParf(X,k)$ be its…

Let $Y$ be a compact Kähler manifold, let $Y_{top}$ denote its underlying topological space, and let $\mathcal{F}$ be a Kan-complex fibrant replacement of the singular simplicial s…