English

Arithmetically Gorenstein Calabi-Yau threefolds in $\mathbb{P}^7$

Algebraic Geometry 2016-09-06 v1

Abstract

We present a list of arithmetically Gorenstein Calabi-Yau threefolds in P7\mathbb{P}^7 and give evidence that this is a complete list. In particular we construct three new families of arithmetically Gorenstein Calabi-Yau threefolds in P7\mathbb{P}^7 for which no mirror construction is known.

Keywords

Cite

@article{arxiv.1609.01195,
  title  = {Arithmetically Gorenstein Calabi-Yau threefolds in $\mathbb{P}^7$},
  author = {Stephen Coughlan and Lukasz Golebiowski and Grzegorz Kapustka and Michal Kapustka},
  journal= {arXiv preprint arXiv:1609.01195},
  year   = {2016}
}