Bridgeland-Enriques general K3 surfaces
Algebraic Geometry
2026-07-02 v1
Abstract
This article introduces a notion of Bridgeland-Enriques general K3 surfaces motivated by the study of Enriques categories over K3 surfaces and the invariant Bridgeland stability conditions. The family of Bridgeland-Enriques general K3 surfaces of degree 10 detects a categorical degeneration of special Gushel-Mukai threefolds. Also, the families of Bridgeland-Enriques general K3 surfaces with higher degrees are closely related to Hodge-special Gushel-Mukai fourfolds and double EPW sextics.
Cite
@article{arxiv.2607.02281,
title = {Bridgeland-Enriques general K3 surfaces},
author = {Ziqi Liu},
journal= {arXiv preprint arXiv:2607.02281},
year = {2026}
}
Comments
31 pages