Derived categories of quartic double fivefolds
Algebraic Geometry
2026-03-10 v2
Abstract
We construct singular quartic double fivefolds whose Kuznetsov component admits a crepant categorical resolution of singularities by a twisted Calabi--Yau threefold. We also construct rational specializations of these fivefolds where such a resolution exists without a twist. This confirms an instance of a higher-dimensional version of Kuznetsov's rationality conjecture, and of a noncommutative version of Reid's fantasy on the connectedness of the moduli of Calabi--Yau threefolds.
Cite
@article{arxiv.2403.13463,
title = {Derived categories of quartic double fivefolds},
author = {Raymond Cheng and Alexander Perry and Xiaolei Zhao},
journal= {arXiv preprint arXiv:2403.13463},
year = {2026}
}
Comments
23 pages, accepted version, comments always welcome!