Remark on a theorem of Oguiso
journal contribution
posted on 2025-01-17, 16:52 authored by Inder Kaur, Artie PrendergastArtie PrendergastFor a Calabi–Yau variety X, Oguiso (Math Res Lett 25(1):181–198, 2018) gave a useful criterion for primitivity of a self-map of X in terms of the associated linear map on the Néron–Severi space of X. In this short note, we prove a variant of Oguiso’s criterion and use it to verify primitivity of a certain birational automorphism of a Calabi–Yau threefold, to which Oguiso’s original criterion does not apply.
Funding
Dynamics on Calabi--Yau and abelian varieties
Engineering and Physical Sciences Research Council
Find out more...History
School
- Science
Department
- Mathematical Sciences
Published in
Annali dell'Universita di FerraraVolume
70Pages
859–869Publisher
Springer (part of Springer Nature)Version
- VoR (Version of Record)
Rights holder
© The Author(s)Publisher statement
This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.Acceptance date
2024-02-17Publication date
2024-03-26Copyright date
2024ISSN
0430-3202eISSN
1827-1510Publisher version
Language
- en
