Explicit Computations with Cubic Fourfolds, Gushel–Mukai Fourfolds, and their Associated K3 Surfaces
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DOI: 10.1080/10586458.2023.2184882
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… read more here.
Keywords: mukai fourfolds; computations cubic; gushel mukai; explicit computations ... See more keywords
On the dynamical degrees of reflections on cubic fourfolds
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DOI: 10.1093/imrn/rnw311
Abstract: We compute the dynamical degrees of certain compositions of reflections in points on a smooth cubic fourfold. Our interest in these computations stems from the irrationality problem for cubic fourfolds. Namely, we hope that they… read more here.
Keywords: dynamical degrees; cubic fourfolds; degrees reflections; reflections cubic ... See more keywords