关于奥吉索定理的注释

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2024-03-26 DOI:10.1007/s11565-024-00506-8

Inder Kaur, Artie Prendergast-Smith

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引用次数: 0

摘要

对于 Calabi-Yau 变体 X，Oguiso（Math Res Lett 25（1）：181-198，2018）根据 X 的 Néron-Severi 空间上的相关线性映射给出了 X 的自映射的原始性的有用判据。在这篇短文中，我们证明了 Oguiso 判据的一个变体，并用它验证了 Calabi-Yau 三折的某个双态自形变的原始性，Oguiso 的原始判据不适用于该自形变。

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Remark on a theorem of Oguiso

For 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.

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.