Type: Article
Publication Date: 2022-09-15
Citations: 7
DOI: https://doi.org/10.1007/s12215-022-00796-x
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.