Fixed points of endomorphisms of complex tori

JOURNAL OF ALGEBRA

卷:507

Article

Alvarado, Matias¹  Auffarth, Robert¹ 

[1] Univ Chile, Fac Ciencias, Dept Matemat, Santiago, Chile

关键词: Complex torus;    Endomorphism;    Fixed points;    Algebraic integers on unit circle;   

DOI  :  10.1016/j.jalgebra.2018.04.018

来源: Elsevier

【 摘 要 】

We study the asymptotic behavior of the cardinality of the fixed point set of iterates of an endomorphism of a complex torus. We show that there are precisely three types of behavior of this function: it is either an exponentially growing function, a periodic function, or a product of both. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free