$d$-semistable Calabi--Yau threefolds of Type III

Abstract

We develop some methods to construct normal crossing varieties whose dual complexes are two-dimensional, which are smoothable to Calabi--Yau threefolds. We calculate topological invariants of smoothed Calabi--Yau threefolds and show that several of them are new examples.

25 pages

References in corpus (3)

• A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List
• Fano versus Calabi - Yau
• Simple normal crossing Fano varieties and log Fano manifolds