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The Weil pairing and the Hilbert symbol

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Publication:1923238
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DOI10.1007/BF01444229zbMath0854.11031MaRDI QIDQ1923238

Everett W. Howe

Publication date: 19 January 1997

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182995


zbMATH Keywords

JacobianHilbert symbolcurves over finite fieldstorsion pointsWeil pairing


Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Class field theory (11R37)


Related Items

Weil pairing and tame symbols ⋮ Self-pairings on supersingular elliptic curves with embedding degree \textit{three} ⋮ Doubly isogenous genus-2 curves with 𝐷₄-action ⋮ Orthogonal to principal ideles ⋮ Explicit calculation of the mod 4 Galois representation associated with the Fermat quartic ⋮ Closed formulae for the Weil pairing inversion ⋮ An Algebraic-Geometric Method for Constructing Generalized Local Symbols on Curves ⋮ The Tate pairing for abelian varieties over finite fields ⋮ On the existence of absolutely simple abelian varieties of a given dimension over an arbitrary field ⋮ Generalized Jacobians and explicit descents



Cites Work

  • Rational Points of Abelian Varieties Over Function Fields
  • Unnamed Item
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