论文标题
立方四倍，Gushel-Mukai四倍及其相关的K3表面的明确计算
Explicit computations with cubic fourfolds, Gushel-Mukai fourfolds, and their associated K3 surfaces
论文作者
论文摘要
我们介绍了Macaulay2软件包Propertyfanofourfolds的一些应用程序，该软件包用于与Hodge特殊的立方四倍和霍奇特殊的Gushel-Mukai Fourdolds一起使用。特别是，我们展示了如何构建此类四倍的新示例，其中有些是理性的。我们还描述了如何计算与立方或Gushel-mukai四倍相关的K3表面，这依赖于某些K3表面的某些模量空间的明确不合理性。
We present some applications of the Macaulay2 software package SpecialFanoFourfolds, a package for working with Hodge-special cubic fourfolds and Hodge-special Gushel--Mukai fourfolds. In particular, we show how to construct new examples of such fourfolds, some of which turn out to be rational. We also describe how to calculate K3 surfaces associated with cubic or Gushel-Mukai fourfolds, which relies on an explicit unirationality of some moduli spaces of K3 surfaces.
