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On the dynamical degrees of reflections on cubic fourfolds

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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.… Click to show full 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 will provide numerical evidence for potential restrictions on tuples of dynamical degrees realisable on general cubic fourfolds which can be violated on the projective four-space.

Keywords: dynamical degrees; cubic fourfolds; degrees reflections; reflections cubic

Journal Title: International Mathematics Research Notices
Year Published: 2018

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