New Solutions to the $$G_2$$ Hull-Strominger System Via Torus Fibrations Over K3 Orbifolds
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.
Authors
- Anna Fino (ORCID: https://orcid.org/0000-0003-0048-2970)
- Gueo Grantcharov (ORCID: https://orcid.org/0000-0001-9942-728X)
- Jose Medel
Institutions
- Florida International University (US)
- Bulgarian Academy of Sciences (BG)
- Institute of Mathematics and Informatics (BG)
- University of Turin (IT)
Publication Details
- Journal
- Annales Henri Poincaré
- Published
- 2026-11-06
- DOI
- https://doi.org/10.1007/s00023-026-01772-2
- Citations
- 2
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 4.08
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