An effective matrix lemma

DOI10.1007/s00209-012-1008-xzbMath1259.14025OpenAlexW2017361216MaRDI QIDQ1936632

Pascal Autissier

Publication date: 6 February 2013

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-012-1008-x

zbMATH Keywords

lower boundperiod latticeFaltings heightMasser's matrix lemma

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (7)

Faltings height and Néron–Tate height of a theta divisor ⋮ The Slicing Problem by Bourgain ⋮ Bornes sur le nombre de points rationnels des courbes : en quête d’uniformité ⋮ Unnamed Item ⋮ Logarithmes des points rationnels des variétés abéliennes ⋮ Polarization and isogenies ⋮ Décompositions en hauteurs locales

Cites Work

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• Calculus on arithmetic surfaces
• Formal groups and the isogeny theorem.
• Minorations des hauteurs normalisées des sous-variétés de variétés abeliennes. II. (Lower bounds for normalized heights of subvarieties of Abelian varieties. II.)
• Intrinsic heights of stable varieties and abelian varieties
• Periods and minimal abelian subvarieties
• Formes linéaires de logarithmes effectives sur les variétés abéliennes

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