Intersecting subvarieties of abelian varieties with algebraic subgroups of complementary dimension

DOI10.1007/s00222-008-0170-6zbMath1176.14008OpenAlexW2032361691MaRDI QIDQ1014249

Philipp Habegger

Publication date: 27 April 2009

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11850/156804

zbMATH Keywords

heightabelian varietyDiophantine approximation

Mathematics Subject Classification ID

Heights (11G50) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Arithmetic ground fields for abelian varieties (14K15) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (13)

Unlikely, likely and impossible intersections without algebraic groups ⋮ Singular intersections of subgroups and character varieties ⋮ Unlikely intersections between additive and multiplicative structures ⋮ The number of rational points on a curve of genus at least two ⋮ Dynamical anomalous subvarieties: structure and bounded height theorems ⋮ Basics on the theory of heights and its applications to certain Diophantine problems ⋮ Preperiodic points for families of rational maps ⋮ The optimality of the bounded height conjecture ⋮ Order of torsion for reduction of linearly independent points for a family of Drinfeld modules ⋮ About the conjecture of Zilber-Pink ⋮ Applications of the hyperbolic Ax–Schanuel conjecture ⋮ The bounded height conjecture for semiabelian varieties ⋮ On the explicit Torsion Anomalous Conjecture

Cites Work

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