An example of non-K\"ahler Calabi-Yau fourfold

TL;DR

This paper constructs a new example of a non-Kähler Calabi-Yau fourfold by smoothing a normal crossing variety, expanding the known landscape of such complex manifolds.

Contribution

It provides the first explicit example of a non-Kähler Calabi-Yau fourfold obtained through smoothing techniques.

Findings

Existence of a non-Kähler Calabi-Yau fourfold demonstrated

Construction method via smoothing a normal crossing variety

Expands understanding of Calabi-Yau fourfolds in complex geometry

Abstract

We show that there exists a non-K\"ahler Calabi-Yau fourfold, constructing an example by smoothing a normal crossing variety.