Arakelov geometry and canonical heights on semi-abelian varieties

DOI10.1007/s002080050300zbMath0944.14010OpenAlexW1978103474MaRDI QIDQ1298179

Antoine Chambert-Loir

Publication date: 20 March 2000

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

Full work available at URL: https://doi.org/10.1007/s002080050300

zbMATH Keywords

abelian varietiesNéron modelArakelov theorycanonical heights

Mathematics Subject Classification ID

Heights (11G50) Arithmetic ground fields for abelian varieties (14K15) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

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Points of small height on semiabelian varieties, Pink's conjecture on unlikely intersections and families of semi-abelian varieties, Higher dimensional essential minima and equidistribution of cycles, Points de petite hauteur sur une variété semi‐abélienne de la forme Gmn×A$\mathbb {G}_m^n \times A$, Points de petite hauteur sur les variétés semi-abéliennes, Arakelov geometry, heights, equidistribution, and the Bogomolov conjecture, Unlikely intersections in semiabelian surfaces, The bounded height conjecture for semiabelian varieties