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 ISSN 1073-7928.

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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, Engineering and Medicine > 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:	Date Event 20 July 2017 Published 22 March 2017 Available 28 November 2016 Accepted
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
Date of first compliant deposit:	30 November 2016
Date of first compliant Open Access:	22 March 2018
Funder:	Deutsche Forschungsgemeinschaft (DFG)
Grant number:	Heisenberg-Stipendium BO 3699/1-2, RTG 1670

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