PreprintCC BY-NC-SA 4.0arXiv
Type changing, compact generalized Calabi--Yaus
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, Σ3 × 𝕋4, with starting point a non-Kähler Calabi--Yau structure.
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BibTeX
@misc{cavalcanti2026type,
title = {{Type changing, compact generalized Calabi--Yaus}},
author = {Gil R. Cavalcanti},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.26387},
eprint = {2609.26387},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.26387},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Type changing, compact generalized Calabi--Yaus
AU - Gil R. Cavalcanti
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2609.26387
UR - https://arxiv.org/abs/2609.26387
AB - 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 × 𝕋^4, with starting point a non-Kähler Calabi--Yau structure.
ER -