A stronger derived Torelli theorem for K3 surfaces
Algebraic Geometry
2015-12-22 v1 K-Theory and Homology
Abstract
In an earlier paper the notion of a filtered derived equivalence was introduced, and it was shown that if two K3 surfaces admit such an equivalence then they are isomorphic. In this paper we study more refined aspects of filtered derived equivalences related to the action on the cohomological realizations of the Mukai motive. It is shown that if a filtered derived equivalence between K3 surfaces also preserves ample cones then one can find an isomorphism that induces the same map as the equivalence on the cohomological realizations.
Cite
@article{arxiv.1512.06451,
title = {A stronger derived Torelli theorem for K3 surfaces},
author = {Max Lieblich and Martin Olsson},
journal= {arXiv preprint arXiv:1512.06451},
year = {2015}
}
Comments
25 pages, comments welcome at any time