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The structure of the rational point groups of simple abelian varieties of dimension two over finite fields

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Publication:1340183
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DOI10.1007/BF01196672zbMath0813.14015MaRDI QIDQ1340183

Xing, Chaoping

Publication date: 30 May 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

finite ground fieldgroup of rational pointsabelian varieties of dimension two


Mathematics Subject Classification ID

Rational points (14G05) Finite ground fields in algebraic geometry (14G15) Algebraic theory of abelian varieties (14K05)


Related Items (7)

Every finite abelian group is the group of rational points of an ordinary abelian variety over 𝔽₂, 𝔽₃ and 𝔽₅ ⋮ Frobenius finds non-monogenic division fields of abelian varieties ⋮ Groups of points on abelian threefolds over finite fields ⋮ The groups of points on abelian varieties over finite fields ⋮ Varieties over finite fields: quantitative theory ⋮ Abelian Surfaces over Finite Fields as Jacobians ⋮ Abelian surfaces over finite fields with prescribed groups



Cites Work

  • Unnamed Item
  • Abelian varieties over finite fields




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