Formal groups and the isogeny theorem.

DOI10.1215/S0012-7094-01-10614-5zbMath1064.14045MaRDI QIDQ1847792

Philippe Graftieaux

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Isogeny (14K02) Formal groups, (p)-divisible groups (14L05)

Related Items (10)

Theta height and Faltings height ⋮ Explicit uniform estimation of rational points I. Estimation of heights ⋮ Unnamed Item ⋮ Slopes of adelic vector bundles over global fields ⋮ Hermitian vector bundles and extension groups on arithmetic schemes. I: Geometry of numbers ⋮ An effective matrix lemma ⋮ Analytic Curves in Algebraic Varieties over Number Fields ⋮ Slopes and abelian subvariety theorem ⋮ Maximal slope of tensor product of Hermitian vector bundles ⋮ Formes linéaires de logarithmes effectives sur les variétés abéliennes

Cites Work

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• Fonctions thêta et théorème du cube
• Finiteness theorems for abelian varieties over number fields.
• Endomorphism estimates for abelian varieties
• Formal groups and \(L\)-series
• Modular elliptic curves and Fermat's Last Theorem
• Multiplicity lemmas and intersections
• Factorization estimates for Abelian varieties
• Intrinsic heights of stable varieties and abelian varieties
• On the theory of commutative formal groups
• On the equations defining Abelian varieties. I-III
• Padé approximations and diophantine geometry
• Paramètres algébriques de groupes formels et critères d'isogénie
• Heights of Projective Varieties and Positive Green Forms
• Positive Line Bundles on Arithmetic Varieties

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