On the dynamical degrees of reflections on cubic fourfolds
Algebraic Geometry
2017-09-21 v1 Dynamical Systems
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
Cite
@article{arxiv.1502.01144,
title = {On the dynamical degrees of reflections on cubic fourfolds},
author = {Christian Böhning and Hans-Christian Graf von Bothmer and Pawel Sosna},
journal= {arXiv preprint arXiv:1502.01144},
year = {2017}
}
Comments
28 pages, 3 figures