Periods of holomorphic maps on compact Riemann surfaces and product of spheres
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Sirvent, Víctor F. (Universidad Católica del Norte. Departamento de Matemáticas (Chile))

Date:	2020
Abstract:	In this article, we consider non-constant holomorphic maps on Riemann surfaces and product of Riemann spheres, and we give conditions on the maps in order that they have arbitrary large prime numbers as periods. We use Lefschetz fixed point theory and in particular we compute the Lefschetz numbers of period m for large m's.
Grants:	Ministerio de Ciencia e Innovación MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Lefschetz numbers ; Holomorphic maps ; Periodic point ; Product of spheres ; Torus
Published in:	Journal of Difference Equations and Applications, vol. 26 (January 2020) p. 1059-1066, ISSN 1563-5120

DOI: 10.1080/10236198.2019.1699915

Postprint 9 p, 576.4 KB

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