English

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

Algebraic Geometry 2019-01-18 v1 Combinatorics

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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Cite

@article{arxiv.1901.05503,
  title  = {Complete intersection Calabi--Yau threefolds in Hibi toric varieties and their smoothing},
  author = {Makoto Miura},
  journal= {arXiv preprint arXiv:1901.05503},
  year   = {2019}
}

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12 pages