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arXiv · 2608.07694

Updates on Calabi-Yau manifolds from pairs of non-compact Calabi-Yau manifolds

Nam-Hoon Lee
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Abstract

We discuss developments in the construction of Calabi--Yau manifolds by smoothing normal crossing unions of quasi-Fano manifolds, following the introduction of this method to the physics community in 2010. We describe constructions of Calabi--Yau threefolds with unbounded second Betti numbers and with very small Hodge numbers, as well as the first non-K\"ahler examples in dimensions greater than three. The role of Landau--Ginzburg models in mirror constructions is also explained.

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Nam-Hoon Lee. 2026-08-07. Updates on Calabi-Yau manifolds from pairs of non-compact Calabi-Yau manifolds. https://arxiv.org/abs/2608.07694

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