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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive
Izv. RAN. Ser. Mat., 2023 Volume 87, Issue 3, Pages 56–74 (Mi im9332)
Isogeny classes and endomorphism algebras of abelian varieties over finite fields

Yu. G. Zarhin

Pennsylvania State University, Department of Mathematics, PA, USA

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

Keywords: abelian varieties, endomorphism algebras, isogenies, finite fields.

UDC: 512.742.2+512.742.7

MSC: 11G10, 11J95, 11G15

Received: 15.03.2022
Revised: 10.05.2022

Language: English

DOI: 10.4213/im9332


 English version: Izvestiya: Mathematics, 2023, 87:3, 469–487

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© Steklov Math. Inst. of RAS, 2024