Intrinsic heights of stable varieties and abelian varieties

DOI10.1215/S0012-7094-96-08202-2zbMath0867.14010OpenAlexW2004696207MaRDI QIDQ1919614

Jean-Benoît Bost

Publication date: 5 September 1996

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-96-08202-2

zbMATH Keywords

arithmetic Riemann-Rochnormalized heightheight of a pair

Mathematics Subject Classification ID

Varieties over global fields (11G35) Arithmetic ground fields for abelian varieties (14K15) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (23)

Theta height and Faltings height ⋮ Faltings height and Néron–Tate height of a theta divisor ⋮ Unnamed Item ⋮ Canonical Kähler metrics and arithmetics: generalizing Faltings heights ⋮ Slopes of adelic vector bundles over global fields ⋮ Generalized heights for arithmetic surfaces ⋮ Heights of vector bundles and the fundamental group scheme of a curve ⋮ Analytic torsion for log-Enriques surfaces and Borcherds product ⋮ Kähler-Einstein metrics and Archimedean zeta functions ⋮ An effective matrix lemma ⋮ The André-Oort conjecture for \(\mathcal A_g\) ⋮ Logarithmes des points rationnels des variétés abéliennes ⋮ Linear projections and successive minima ⋮ Quantum Hall effect and Quillen metric ⋮ Heights on squares of modular curves ⋮ Analytic torsion of all vector bundles over an elliptic curve ⋮ Slopes and abelian subvariety theorem ⋮ Unnamed Item ⋮ Décompositions en hauteurs locales ⋮ Formal groups and the isogeny theorem. ⋮ Formes linéaires de logarithmes effectives sur les variétés abéliennes ⋮ Reducibility mod \(p\) of hypersurfaces in projective spaces -- an application of arithmetic Bézout ⋮ Néron-Tate heights of cycles on jacobians

Cites Work

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