Abelian varieties with finite abelian group action

Journal article

Publication Details

Author(s): Carocca A, Lange H, Rodríguez RE
Journal: Archiv der Mathematik
Publication year: 2019
ISSN: 0003-889X


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 Authors / FAU Editors

Lange, Herbert Prof. Dr.
Department Mathematik

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

How to cite

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

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


Last updated on 2019-03-05 at 16:08