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On the dynamical degrees of reflections on cubic fourfolds
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Böhning, Christian, Bothmer, Hans-Christian Graf von and Sosna, Pawel (2017) On the dynamical degrees of reflections on cubic fourfolds. International Mathematics Research Notices, 2018 (14). pp. 4480-4512. doi:10.1093/imrn/rnw311
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Official URL: https://doi.org/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 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.
| Item Type: | Journal Article | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Hypersurfaces | ||||||||
| Journal or Publication Title: | International Mathematics Research Notices | ||||||||
| Publisher: | Oxford University Press | ||||||||
| ISSN: | 1073-7928 | ||||||||
| Official Date: | 20 July 2017 | ||||||||
| Dates: |
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| Volume: | 2018 | ||||||||
| Number: | 14 | ||||||||
| Page Range: | pp. 4480-4512 | ||||||||
| DOI: | 10.1093/imrn/rnw311 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Funder: | Deutsche Forschungsgemeinschaft (DFG) | ||||||||
| Grant number: | Heisenberg-Stipendium BO 3699/1-2, RTG 1670 |
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