Isogeny classes and endomorphism algebras of abelian varieties over finite fields

Yu G. Zarhin

doi:10.4213/im9332e

Isogeny classes and endomorphism algebras of abelian varieties over finite fields

Yu G. Zarhin

Mathematics

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

Abstract

We construct nonisogenous simple ordinary abelian varieties over an algebraic closure of a finite field with isomorphic endomorphism algebras.

Original language	English (US)
Pages (from-to)	469-487
Number of pages	19
Journal	Izvestiya Mathematics
Volume	87
Issue number	3
DOIs	https://doi.org/10.4213/im9332e
State	Published - 2023

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4213/im9332e

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title = "Isogeny classes and endomorphism algebras of abelian varieties over finite fields",

abstract = "We construct nonisogenous simple ordinary abelian varieties over an algebraic closure of a finite field with isomorphic endomorphism algebras.",

author = "Zarhin, \{Yu G.\}",

note = "Publisher Copyright: {\textcopyright} 2023 Russian Academy of Sciences, Steklov Mathematical Institute of RAS.",

year = "2023",

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volume = "87",

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journal = "Izvestiya Mathematics",

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AB - We construct nonisogenous simple ordinary abelian varieties over an algebraic closure of a finite field with isomorphic endomorphism algebras.

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Isogeny classes and endomorphism algebras of abelian varieties over finite fields

Abstract

All Science Journal Classification (ASJC) codes

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