Categorical Torelli theorems: results and open problems

Type: Article

Publication Date: 2022-09-15

Citations: 7

DOI: https://doi.org/10.1007/s12215-022-00796-x

Abstract

Abstract 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.

Locations

  • PubMed Central - View
  • PubMed - View
  • Rendiconti del Circolo Matematico di Palermo Series 2 - View - PDF

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