Torsion of Abelian varieties over GL (2)-extensions of number fields.
Yuri Zarhin (1989)
Mathematische Annalen
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Yuri Zarhin (1989)
Mathematische Annalen
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Baker, Matthew, Ih, Su-ion (2004)
The New York Journal of Mathematics [electronic only]
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Nicholas M. Katz (1980/81)
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J. TATE (1966)
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E. Bombieri, U. Zannier (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Alice Silverberg (1988)
Compositio Mathematica
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Yves Aubry, Safia Haloui, Gilles Lachaud (2013)
Acta Arithmetica
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We give upper and lower bounds for the number of points on abelian varieties over finite fields, and lower bounds specific to Jacobian varieties. We also determine exact formulas for the maximum and minimum number of points on Jacobian surfaces.
Yu. G. Zarhin (1985)
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Alexandru Buium, José Felipe Voloch (1993)
Mathematische Annalen
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Rita Pardini (1991)
Journal für die reine und angewandte Mathematik
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Fedor Bogomolov, Yuri Tschinkel (2008)
Open Mathematics
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We study applications of divisibility properties of recurrence sequences to Tate’s theory of abelian varieties over finite fields.