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Rational points on curves over finite fields

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SOCIÉTÉ MATHÉMATIQUE DE FRANCE

RATIONAL POINTS ON CURVES OVER FINITE FIELDS

Jean-Pierre SERRE

with contributions by Everett Howe, Joseph Oesterlé

and Christophe Ritzenthaler

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RATIONAL POINTS ON CURVES OVER FINITE FIELDS

Jean-Pierre Serre

With contributions by

Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler Editors

Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof

(4)

Documents Mathématiques série dirigée par Patrick Popescu-Pampu

Comité de rédaction Aline Bonami Jean-Benoît Bost

Karine Chemla Étienne Ghys Mylène Maïda Patrick Popescu-Pampu

DOCUMENTS MATHÉMATIQUES Société Mathématique de France

Institut Henri Poincaré, 11, rue Pierre et Marie Curie 75 231 Paris Cedex 05, France

Tél : (33) 01 44 27 67 99 • Fax : (33) 01 40 46 90 96 revues@smf.ens.fr • http://smf.emath.fr/

©Société Mathématique de France 2020

Tous droits réservés (article L 122–4 du Code de la propriété intellectuelle). Toute représentation ou reproduction intégrale ou partielle faite sans le consentement de l’éditeur est illicite. Cette représentation ou reproduction par quelque procédé que ce soit constituerait une contrefaçon sanctionnée par les articles L 335–2 et suivants du CPI.

ISSN 1629-4939 ISBN 978-2-85629-923-4

Directeur de la publication : Fabien DURAND

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DOCUMENTS MATHÉMATIQUES 18

RATIONAL POINTS ON CURVES OVER FINITE FIELDS

Jean-Pierre Serre

With contributions by

Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler Editors

Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof

Société Mathématique de France 2020

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