Remark on a theorem of Oguiso
Algebraic Geometry
2024-04-03 v1
Abstract
For a Calabi-Yau variety X, Oguiso gave a useful criterion for primitivity of a self-map of X in terms of the associated linear map on the Neron--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.
Keywords
Cite
@article{arxiv.2404.01915,
title = {Remark on a theorem of Oguiso},
author = {Inder Kaur and Artie Prendergast-Smith},
journal= {arXiv preprint arXiv:2404.01915},
year = {2024}
}
Comments
published in 'Annali dell 'Universita' di Ferrara