New perspectives on categorical Torelli theorems for del Pezzo threefolds
Let Y d be a del Pezzo threefold of Picard rank one and degree d≥ 2. In this paper, we
apply two different viewpoints to study Y d via a particular admissible subcategory of its …
apply two different viewpoints to study Y d via a particular admissible subcategory of its …
Derived categories of hearts on Kuznetsov components
We prove a general criterion that guarantees that an admissible subcategory KK of the
derived category of an abelian category is equivalent to the bounded derived category of the …
derived category of an abelian category is equivalent to the bounded derived category of the …
Categorical Torelli theorems: results and open problems
L Pertusi, P Stellari - Rendiconti del Circolo Matematico di Palermo Series …, 2023 - Springer
We survey some recent results concerning the so called Categorical Torelli problem. This is
to say how one can reconstruct a smooth projective variety up to isomorphism, by using the …
to say how one can reconstruct a smooth projective variety up to isomorphism, by using the …
Bridgeland stability of minimal instanton bundles on Fano threefolds
X Qin - Journal of the Mathematical Society of Japan, 2023 - jstage.jst.go.jp
We prove that minimal instanton bundles on a Fano threefold x of Picard rank one and index
two are semistable objects in the Kuznetsov component Ku (x), with respect to the stability …
two are semistable objects in the Kuznetsov component Ku (x), with respect to the stability …