Honda–Tate theorem
id:
honda-tate-theorem-290-2282146
title:
Honda–Tate theorem
text:
In mathematics, the Honda–Tate theorem classifies abelian varieties over finite fields up to isogeny. It states that the isogeny classes of simple abelian varieties over a finite field of order q correspond to algebraic integers all of whose conjugates have absolute value √q. Tate (1966) showed that the map taking an isogeny class to the eigenvalues of the Frobenius is injective, and Taira Honda (1968) showed that this map is surjective, and therefore a bijection.
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Honda%E2%80%93Tate_theorem
date created:
date modified:
2023-08-12T23:18:51Z
main entity:
{"identifier":"Q5892839","url":"https://www.wikidata.org/entity/Q5892839"}
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fields total:
13
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13