Isogenies of abelian varieties over finite fields

Alice Silverberg; Yuri G. Zarhin

doi:10.1007/s10623-015-0078-2

Isogenies of abelian varieties over finite fields

Alice Silverberg
, Yuri G. Zarhin

Mathematics

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

Abstract

In this paper we give conditions under which two abelian varieties that are defined over a finite field F, and are isogenous over some larger field, are F-isogenous. Further, we give conditions under which a given isogeny is defined over F.

Original language	English (US)
Pages (from-to)	427-439
Number of pages	13
Journal	Designs, Codes, and Cryptography
Volume	77
Issue number	2-3
DOIs	https://doi.org/10.1007/s10623-015-0078-2
State	Published - Dec 3 2015

All Science Journal Classification (ASJC) codes

Computer Science Applications
Applied Mathematics

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title = "Isogenies of abelian varieties over finite fields",

abstract = "In this paper we give conditions under which two abelian varieties that are defined over a finite field F, and are isogenous over some larger field, are F-isogenous. Further, we give conditions under which a given isogeny is defined over F.",

author = "Alice Silverberg and Zarhin, \{Yuri G.\}",

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AU - Zarhin, Yuri G.

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Isogenies of abelian varieties over finite fields

Abstract

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