Work

Stability conditions on products of curves and Hilbert schemes of surfaces

Year: 2026

Type: article

Abstract: We prove that stability conditions on the derived category of a product of curves of positive genus are uniquely determined by their central charge and the phase of skyscraper sheaves.As an application, we construct stability conditions on Hilbert schemes of points on certain surfaces, including some K3 surfaces of Kummer type.

Source: Geometry & Topology

DOI: 10.2140/gt.2026.30.3485

Authors: Chunyi Li, Emanuele Macrì, Alexander Perry, Paolo Stellari, Xiaolei Zhao

Institutions: University of Warwick, Université Paris-Saclay, Laboratoire de Mathématiques d'Orsay, University of Michigan, University of Milan, University of California, Santa Barbara

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Science Foundation, Division of Mathematical Sciences

Awards: Mathematical Sciences Research Institute (MSRI), G329468232, Derived Categories, Hodge Theory, and Birational Geometry, G6019427330, CAREER: Geometry of Derived Categories, FRG: Collaborative Research: Derived Categories, Moduli Spaces, and Classical Algebraic Geometry, Hyperkähler Geometry, Stability Conditions, and Moduli Spaces, FRG: Collaborative Research: Derived Categories, Moduli Spaces, and Classical Algebraic Geometry

OpenAlex ID: W7221012638

FWCI: 28.57

Cites: 30

Cited by: 14

Related to: 10