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… Click to show full abstract
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.
Keywords:
mukai fourfolds;
computations cubic;
gushel mukai;
explicit computations;
cubic fourfolds
Journal Title: Experimental Mathematics
Year Published: 2022
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Journal Title: Experimental Mathematics
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!