2 problems

Let $w\in \mathbf{k}[x_1,\dots,x_n]$ be an invertible polynomial, and consider the hypersurface $\{w=0\}$ in $\mathbb{A}_{\mathbf{k}}^n$. Let $L_w$ be the maximal grading group, an…

Orlov's block conjecture. This category admits a full strongly exceptional collection consisting of at most $n+1$ blocks, where each block consists of pairwise orthogonal objects.…