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Categorical Torelli theorems: results and open problems

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arxiv 2201.03899 v2 pith:4OWLJZ4K submitted 2022-01-11 math.AG

Laura Pertusi , Paolo Stellari This is my paper
classification math.AG
keywords categoricalresultstorellivarietyadmissibleboundedcalledcategory
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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 homological properties of special admissible subcategories of the bounded derived category of coherent sheaves of such a variety. The focus is on Enriques surfaces, prime Fano threefolds and cubic fourfolds.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The finite degree formula for normalized volumes

    math.AG 2026-07 accept novelty 8.0 of 10

    Finite crepant covers of klt singularities scale normalized volume by the degree of the cover.

  2. The finite degree formula for normalized volumes

    math.AG 2026-07 accept novelty 6.0 of 10

    For finite crepant morphisms of klt singularities, normalized volume scales exactly by the degree of the morphism.

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