Examples of non-Kähler Calabi-Yau 3-folds with arbitrarily large $b_2$

Abstract

We construct non-Kähler simply connected Calabi-Yau 3-folds with arbitrarily large 2nd Betti numbers by smoothing normal crossing varieties with trivial dualizing sheaves.

19 pages, to appear in Geometry & Topology

References in corpus (4)

• Fano versus Calabi - Yau
• Adiabatic Limit and Deformations of Complex Structures
• The $\partial \bar{\partial }$-lemma for general Clemens manifolds
• Smooth quartic K3 surfaces and Cremona transformations, II

Cited by in corpus (1)

• Smoothing toroidal crossing spaces