Abelian varieties with finite abelian group action

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autorinnen und Autoren: Carocca A, Lange H, Rodríguez RE
Zeitschrift: Archiv der Mathematik
Jahr der Veröffentlichung: 2019
ISSN: 0003-889X


Abstract

An automorphism of an abelian variety induces a decomposition of the variety up to isogeny. There are two such results, namely the isotypical decomposition and Roan’s decomposition theorem. We show that they are essentially the same. Moreover, we generalize in a sense this result to abelian varieties with action of an arbitrary finite abelian group. An early version of this article was inadvertently published before all the revisions had been completed and then retracted [https://doi.org/10.1007/s00013-018-1244-3]. This article is the final peer reviewed version.


FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Lange, Herbert Prof. Dr.
Department Mathematik


Einrichtungen weiterer Autorinnen und Autoren

University of the Frontier / Universidad de La Frontera (UFRO)


Zitierweisen

APA:
Carocca, A., Lange, H., & Rodríguez, R.E. (2019). Abelian varieties with finite abelian group action. Archiv der Mathematik. https://dx.doi.org/10.1007/s00013-018-1291-9

MLA:
Carocca, Angel, Herbert Lange, and Rubí E. Rodríguez. "Abelian varieties with finite abelian group action." Archiv der Mathematik (2019).

BibTeX: 

Zuletzt aktualisiert 2019-03-05 um 16:08