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arXiv · 1901.05503

Complete intersection Calabi--Yau threefolds in Hibi toric varieties and their smoothing

Makoto Miura
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Abstract

In this article, we summarize combinatorial description of complete intersection Calabi-Yau threefolds in Hibi toric varieties. Such Calabi-Yau threefolds have at worst conifold singularities, and are often smoothable to non-singular Calabi-Yau threefolds. We focus on such non-singular Calabi-Yau threefolds of Picard number one, and illustrate the calculation of topological invariants, using new motivating examples.

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Makoto Miura. 2019-01-16. Complete intersection Calabi--Yau threefolds in Hibi toric varieties and their smoothing. https://arxiv.org/abs/1901.05503

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