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math.AG2025
Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives
Xun Lin, Shizhuo Zhang, Zheng Zhang
We investigate infinitesimal Torelli problems for some of the Fano threefolds of the following two types: (a) those which can be described as zero loci of sections of vector bundle…
math.AG2024
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…