3 problems

Let $X$ and $Y$ be smooth complex projective varieties. For a coherent sheaf $F$ on $X$, define its cohomological support loci by … In particular, write $V^i(X,\omega_X)$ for the l…

Let $X$ and $Y$ be smooth projective varieties over the complex numbers, let $\mathbf{D}(X)=\mathbf{D}^{\mathrm{b}}(\operatorname{Coh}(X))$ and…

Pareschi–Popa's equivalence conjecture. For $e=1$, these four conditions should be equivalent.