Abelian varieties with finite abelian group action

Carocca A, Lange H, Rodríguez RE (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Archiv der Mathematik Springer Verlag (Germany)

DOI: 10.1007/s00013-018-1291-9

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.

Authors with CRIS profile

Herbert Lange Department Mathematik

Involved external institutions

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

How to cite

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).

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