Mathematical Research Letters

Volume 30 (2023)

Number 3

An example of non-Kähler Calabi–Yau fourfold

Pages: 807 – 820

DOI: https://dx.doi.org/10.4310/MRL.2023.v30.n3.a8

Author

Nam-Hoon Lee (Department of Mathematics Education, Hongik University, Seoul, South Korea)

Abstract

We show that there exists a non-Kähler Calabi–Yau fourfold, constructing an example by smoothing a normal crossing variety.

This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2020R1A2C1A01004503), and by the 2022 Hongik University Research Fund.

Received 15 March 2021

Received revised 28 January 2022

Accepted 21 March 2022

Published 15 December 2023