Computing base extensions of ordinary abelian varieties over finite fields

Stefano Marseglia

doi:10.1142/S1793042122501007

Computing base extensions of ordinary abelian varieties over finite fields

Stefano Marseglia

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We study base field extensions of ordinary abelian varieties defined over finite fields using the module theoretic description introduced by Deligne. As applications we give algorithms to determine the minimal field of definition of such a variety and to determine whether two such varieties are twists.

Original language	English
Pages (from-to)	1957-1974
Number of pages	17
Journal	International Journal of Number Theory
Volume	18
Issue number	9
DOIs	https://doi.org/10.1142/S1793042122501007
Publication status	Published - 1 Oct 2022

Bibliographical note

Publisher Copyright:
© 2022 World Scientific Publishing Company.

Keywords

Abelian varieties
Field extension
Finite fields

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10.1142/S1793042122501007

s1793042122501007Final published version, 242 KBLicence: Taverne

Cite this

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title = "Computing base extensions of ordinary abelian varieties over finite fields",

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KW - Finite fields

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Computing base extensions of ordinary abelian varieties over finite fields

Abstract

Bibliographical note

Keywords

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