The Tate Conjecture for Certain Abelian Varieties over Finite Fields J.S. MILNE August 1, 1999; submitted version (minor changes to the exposition February 11, In an earlier work, we showed that if the Hodge conj

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Two zero-sum invariants on finite abelian groups

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Isogenies between abelian varieties DAMIEN ROBERT Notes of a talk given for the Conference “Effective moduli spaces and applications to cryptography” — Rennes Abstract. In this talk we give a brief panorama of the

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1982a Hodge cycles on abelian varieties (TeXed version) (Available at www.jmilne.org/math/.) Erratum The second paragraph in 3.2(a) should read (as in the original): However, the above argument shows the following: let H

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Endomorphism rings of Abelian varieties and their representations Peter Bruin 14 and 29 OctoberIntroduction

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Arithmetic on Abelian and Kummer Varieties DAVID LUBICZ AND DAMIEN ROBERT Abstract. A Kummer variety is obtained as the quotient of an abelian variety by the automorphism (−1) acting on it. Kummer varieties can be seen

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Abelian Varieties and Schemes 14Kxx [1] Nils Bruin, E. Victor Flynn, Josep Gonz´alez, and Victor Rotger, On finiteness conjectures for endomorphism algebras of abelian surfaces, Math. Proc. Cambridge Philos. Soc

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TORSION DES VARIÉTÉS ABÉLIENNES CM ÉRIC GAUDRON ET GAËL RÉMOND Abstract. In this note, we improve on a result of Silverberg giving an upper bound for the order of a rational torsion point on a CM abelian variety ov

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Sage Reference Manual: Modular Abelian Varieties Release 8.3 The Sage Development Team

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• Algebra
• Abstract algebra
• Algebraic curves
• Niels Henrik Abel
• Algebraic surfaces
• Homological algebra
• Torsion subgroup
• Isogeny
• Abelian varieties
• Torsion

A generalized Brezing-Weing method for constructing pairing-friendly ordinary abelian varieties: Additional examples David Freeman

Source URL: theory.stanford.edu