Work

New Solutions to the $$G_2$$ Hull-Strominger System Via Torus Fibrations Over K3 Orbifolds

Year: 2026

Type: article

Abstract: Using torus fibrations over K3 orbisurfaces, we construct new smooth solutions to the $$G_2$$ G 2 Hull–Strominger system. These manifolds arise as total spaces of principal $$T^3$$ T 3 (orbi)bundles over singular K3 surfaces. Our construction is based on the choice of three divisors on a singular K3 surface that are primitive with respect to a particular Kähler metric. The stable bundle is obtained via an adaptation of the Serre construction to the singular setting.

Source: Annales Henri Poincaré

DOI: 10.1007/s00023-026-01772-2

Authors: Anna Fino, Gueo Grantcharov, Jose Medel

Institutions: Florida International University, University of Turin, Bulgarian Academy of Sciences, Institute of Mathematics and Informatics

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Simons Foundation, Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni