Work

Bridgeland-Enriques general K3 surfaces

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2607.02281

Author: Liu, Ziqi

Institution: University of Milan

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni

OpenAlex ID: W7167281012

Cites: 5

Cited by: 1

Related to: 10