Examples of non-Kähler Calabi-Yau manifolds with arbitrarily large $b_2$

Abstract

We construct non-Kähler Calabi-Yau manifolds of dimension $\ge$ 4 with arbitrarily large 2nd Betti numbers by smoothing normal crossing varieties. The examples have K3 fibrations over smooth projective varieties and their algebraic dimensions are of codimension 2.

arXiv comment15 pages, accepted for publication by the Journal of Topology

References in corpus (3)

• Smoothing toroidal crossing spaces
• Fundamental Groups of Spaces of Smooth Projective Hypersurfaces
• An example of non-Kähler Calabi-Yau fourfold