New Solutions to the $G_2$ Hull-Strominger System via torus fibrations over $K3$ orbifolds
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910003694141440 |
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| author | Fino, Anna Grantcharov, Gueo Medel, Jose |
| author_facet | Fino, Anna Grantcharov, Gueo Medel, Jose |
| contents | Using torus fibrations over K3 orbisurfaces, we construct new smooth solutions to the $G_2$ Hull-Strominger system. These manifolds arise as total spaces of principal $T^3$ (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 Kählermetric. The stable bundle is obtained via an adaptation of the Serre construction to the singular setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_20813 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | New Solutions to the $G_2$ Hull-Strominger System via torus fibrations over $K3$ orbifolds Fino, Anna Grantcharov, Gueo Medel, Jose Differential Geometry Using torus fibrations over K3 orbisurfaces, we construct new smooth solutions to the $G_2$ Hull-Strominger system. These manifolds arise as total spaces of principal $T^3$ (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 Kählermetric. The stable bundle is obtained via an adaptation of the Serre construction to the singular setting. |
| title | New Solutions to the $G_2$ Hull-Strominger System via torus fibrations over $K3$ orbifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2601.20813 |