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20222026
most citedIVHS via Kuznetsov components and categorical Torelli theorems for weighted hypersurfaces

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math.AG2024★ 1 cited

IVHS via Kuznetsov components and categorical Torelli theorems for weighted hypersurfaces

Xun Lin, Jørgen Vold Rennemo, Shizhuo Zhang

We study the categorical Torelli theorem for smooth (weighted) hypersurfaces in (weighted) projective spaces via the Hochschild--Serre algebra of its Kuznetsov component. In the fi…

math.AG2024

Three approaches to a categorical Torelli theorem for cubic threefolds of non-Eckardt type via the equivariant Kuznetsov components

Sebastian Casalaina-Martin, Xianyu Hu, Xun Lin +2

Let be a cubic threefold with a non-Eckardt type involution . Our first main result is that the -equivariant category of the Kuznetsov component $\mathcal{K}u_{\mathbb{Z}…