PreprintCC BY-NC-ND 4.0arXiv
Bridgeland-Enriques general K3 surfaces
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.
Related
- Zero-cycles and Brauer groups on certain Enriques surfaces
- Global log canonical thresholds for Burniat surfaces and some infinite families of surfaces of general type as ℤ2n-covers
- General position on Brauer--Severi surfaces
- Bounds on automorphism groups of surfaces of general type with negative c_2
- Bridgeland stability and Gieseker stability I: Limit stability
BibTeX
@misc{liu2026bridgelandenriques,
title = {{Bridgeland-Enriques general K3 surfaces}},
author = {Ziqi Liu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.02281},
eprint = {2607.02281},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.02281},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Bridgeland-Enriques general K3 surfaces
AU - Ziqi Liu
PY - 2026
DA - 2026/10/11
PB - arXiv
DO - 10.48550/arxiv.2607.02281
UR - https://arxiv.org/abs/2607.02281
AB - 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.
ER -