On Landau-Ginzburg Systems and ${\mathcal{D}}^b(X)$ of projective bundles

Yochay Jerby

Let $X=\mathbb{P}({\mathcal{O}}_{{\mathbb{P}}^s}\oplus {⨁}_{i=1}^r{\mathcal{O}}_{{\mathbb{P}}^s}(a_i))$ be a Fano projective bundle over ${\mathbb{P}}^s$ and denote by $Crit(X) \subs…