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 …
A categorical Torelli theorem for hypersurfaces
D Pirozhkov - Bulletin of the London Mathematical Society, 2024 - Wiley Online Library
Abstract Let X⊂ P n+ 1 X⊂P^n+1 be a smooth Fano hypersurface of dimension nn and
degree d d. The derived category of coherent sheaves on XX contains an interesting …
degree d d. The derived category of coherent sheaves on XX contains an interesting …
Three approaches to a categorical Torelli theorem for cubic threefolds of non-Eckardt type via the equivariant Kuznetsov components
S Casalaina-Martin, X Hu, X Lin, S Zhang… - arXiv preprint arXiv …, 2024 - arxiv.org
Let $ Y $ be a cubic threefold with a non-Eckardt type involution $\tau $. Our first main result
is that the $\tau $-equivariant category of the Kuznetsov component $\mathcal {K} u …
is that the $\tau $-equivariant category of the Kuznetsov component $\mathcal {K} u …
Kuznetsov's Fano threefold conjecture via Hochschild–Serre algebra
X Lin, S Zhang - Mathematische Zeitschrift, 2024 - Springer
Let Y be a smooth quartic double solid regarded as a degree 4 hypersurface of the weighted
projective space P (1, 1, 1, 1, 2). We study the multiplication of the Hochschild-Serre algebra …
projective space P (1, 1, 1, 1, 2). We study the multiplication of the Hochschild-Serre algebra …