Hibi品种中Calabi-Yau三倍完全相交及其平滑

Algebraic and Geometric Combinatorics on Lattice Polytopes Pub Date : 2019-01-16 DOI:10.1142/9789811200489_0018

Makoto Miura

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摘要

本文总结了Hibi品种中Calabi-Yau三倍完全交的组合描述。这样的Calabi-Yau三倍在最坏的情况下具有折叠奇异性，并且通常平滑到非奇异的Calabi-Yau三倍。我们集中讨论了Picard 1的非奇异Calabi-Yau三倍，并使用新的激励例子说明了拓扑不变量的计算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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Algebraic and Geometric Combinatorics on Lattice Polytopes

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