Complete intersection Calabi--Yau threefolds in Hibi toric varieties and their smoothing. (arXiv:1901.05503v1 [math.AG])

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. 查看全文>>