Year: 2026
Type: preprint
Abstract: We provide the first compact examples of type-changing generalized Calabi--Yau manifolds using Fei's construction of non-Kähler Calabi--Yau manifolds on branched covers of twistor spaces \cite{Fei16}. The structure, which is generically of type 1 and changes to type 3, is constructed on the product of a hyperelliptic surface of genus three and a four-torus, $Σ_3 \times \mathbb{T}^4$, with starting point a non-Kähler Calabi--Yau structure.
Source: arXiv (Cornell University)
Author: Cavalcanti, Gil R.
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214093467