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Weil pairing

In mathematics, the Weil pairing is a pairing (bilinear form, though with multiplicative notation) on the points of order dividing n of an elliptic curve E, taking values in nth roots of unity. More generally there is a similar Weil pairing between points of order n of an abelian variety and its dual. It was introduced by André Weil (1940) for Jacobians…

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Overview

Formulation

Generalisation to abelian varieties

Applications

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Weil pairing

Nodes35
Edges34
Triples14
Avg. degree1.94
Density0.057143
Components1

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Weil pairing

Top relations

related to Formulation · 5
Weil pairing → Cartesian, Choose, Kummer, The Weil, Then
related to Generalisation to abelian varieties · 5
Weil pairing → For, Here, If, This, Weil
is a · 2
Weil pairing → nondegenerate pairing A, pairing
related to External links · 2
Weil pairing → PDF, The Weil

Important terminology Word statistics

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Important terminology

pairing weil elliptic points curve unity abelian order curves algebraic function field 1940 root n-torsion displaystyle bilinear multiplicative nth roots

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Weil pairingis apairing0.90text
Weil pairingis anondegenerate pairing A0.90text
Weil pairingrelated to External linksThe Weil0.60section
Weil pairingrelated to External linksPDF0.60section
Weil pairingrelated to FormulationChoose0.60section
Weil pairingrelated to FormulationThen0.60section
Weil pairingrelated to FormulationCartesian0.60section
Weil pairingrelated to FormulationThe Weil0.60section
Weil pairingrelated to FormulationKummer0.60section
Weil pairingrelated to Generalisation to abelian varietiesFor0.60section
Weil pairingrelated to Generalisation to abelian varietiesWeil0.60section
Weil pairingrelated to Generalisation to abelian varietiesHere0.60section

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