Fibrations Over Singular K3 Surfaces and New Solutions to the Hull-Strominger System
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908574778654720 |
|---|---|
| author | Fino, Anna Grantcharov, Gueo Medel, Jose |
| author_facet | Fino, Anna Grantcharov, Gueo Medel, Jose |
| contents | Using fibrations over K3 orbisurfaces we construct new smooth solutions to the Hull-Strominger system. In particular, we prove that, for $4 \leq k \leq 22$ and $5 \leq r\leq 22$, the smooth manifolds $S^1\times \sharp_k(S^2\times S^3)$ and $\sharp_r (S^2 \times S^4) \sharp_{r+1} (S^3 \times S^3)$, have a complex structure with trivial canonical bundle and admit a solution to the Hull-Strominger system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03384 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fibrations Over Singular K3 Surfaces and New Solutions to the Hull-Strominger System Fino, Anna Grantcharov, Gueo Medel, Jose Differential Geometry Using fibrations over K3 orbisurfaces we construct new smooth solutions to the Hull-Strominger system. In particular, we prove that, for $4 \leq k \leq 22$ and $5 \leq r\leq 22$, the smooth manifolds $S^1\times \sharp_k(S^2\times S^3)$ and $\sharp_r (S^2 \times S^4) \sharp_{r+1} (S^3 \times S^3)$, have a complex structure with trivial canonical bundle and admit a solution to the Hull-Strominger system. |
| title | Fibrations Over Singular K3 Surfaces and New Solutions to the Hull-Strominger System |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2501.03384 |