A Bogomolov property for curves modulo algebraic subgroups

DOI10.24033/bsmf.2570zbMath1270.11063OpenAlexW2515108764MaRDI QIDQ3629346

Philipp Habegger

Publication date: 27 May 2009

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/en/Publications/Bulletin/137/html/smf_bull_137_93-125.html

zbMATH Keywords

rational pointsalgebraic curvesfiniteness resultheight functionsmultiplicative group

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) Counting solutions of Diophantine equations (11D45) Heights (11G50) Global ground fields in algebraic geometry (14G25) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)

Related Items (1)

Small points on subvarieties of a torus

Cites Work

• Algebraic curves and multiplicative equations.
• Intersecting subvarieties of \({G_m^n}\) with algebraic subgroups
• The intersection of a curve with a union of translated codimension-two subgroups in a power of an elliptic curve
• Mordell-Lang plus Bogomolov
• Density of points with multiplicatively independent coordinates
• On alternative heights. III
• Intersections of subgroups and subvarieties. I
• EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE
• On a question of Lehmer and the number of irreducible factors of a polynomial
• Intersecting curves and algebraic subgroups: Conjectures and more results
• Le problème de Lehmer en dimension supérieure
• Approximation diophantienne sur les variétés semi-abéliennes
• MINORATION DE LA HAUTEUR NORMALISE DANS UN TORE
• Positive Line Bundles on Arithmetic Varieties
• Anomalous Subvarieties—Structure Theorems and Applications
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