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Jie-Heng Zeng

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Preprint Sep 2026

Categorical Torelli theorem for (weighted) hypersurfaces via singularity category

We prove categorical Torelli theorems for ordinary and weighted hypersurfaces using the singularity category of the completed affine cone. For Fano hypersurfaces we use the Kuznetsov component, whereas for hypersurfaces of general type we use the full category of graded matrix factorizations. When the degree is coprime...

Xun Lin, Jie-Heng Zeng, Shi-Zhuo Zhang · 1 citation

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