Categorical Torelli theorems: results and open problems
Algebraic Geometry
2022-08-31 v2
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.
Cite
@article{arxiv.2201.03899,
title = {Categorical Torelli theorems: results and open problems},
author = {Laura Pertusi and Paolo Stellari},
journal= {arXiv preprint arXiv:2201.03899},
year = {2022}
}
Comments
59 pages. Final version to appear in a special issue of Rend. Circ. Mat. Palermo (2)