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arXiv · 2501.03384

Fibrations Over Singular K3 Surfaces and New Solutions to the Hull-Strominger System

Anna Fino·Gueo Grantcharov·Jose Medel
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Abstract

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.

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Anna Fino, Gueo Grantcharov, Jose Medel. 2025-01-06. Fibrations Over Singular K3 Surfaces and New Solutions to the Hull-Strominger System. https://arxiv.org/abs/2501.03384

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