On the \(p\)-rank of an abelian variety and its endomorphism algebra

DOI10.5565/PUBLMAT_42198_05zbMath0941.14015MaRDI QIDQ1277122

Josep González

Publication date: 23 July 2000

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41333

zbMATH Keywords

characteristic \(p\)abelian varietiesendomorphism algebra

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Rational and birational maps (14E05) Arithmetic ground fields for abelian varieties (14K15)

Related Items (6)

Computing the geometric endomorphism ring of a genus-2 Jacobian ⋮ Subrings of \(p\)-power index in endomorphism rings of simple abelian varieties over finite fields ⋮ A CM construction for curves of genus 2 with \(p\)-rank 1 ⋮ Absolutely simple polarized abelian varieties of odd Sophie Germain prime dimension over finite fields with maximal automorphism groups ⋮ Eigenvalues of Frobenius endomorphisms of abelian varieties of low dimension ⋮ The characteristic polynomials of Abelian varieties of dimensions 3 over finite fields

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