Analytic subvarieties with many rational points

DOI10.1007/s00208-009-0394-9zbMath1244.11072arXiv0811.3195OpenAlexW1986285963MaRDI QIDQ2655155

Carlo Gasbarri

Publication date: 22 January 2010

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

Full work available at URL: https://arxiv.org/abs/0811.3195

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Germs of analytic sets, local parametrization (32B10) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Value distribution theory in higher dimensions (32H30)

Related Items

Rational versus transcendental points on analytic Riemann surfaces ⋮ Algebraization, transcendence, and \(D\)-group schemes ⋮ Cycles in the de Rham cohomology of abelian varieties over number fields ⋮ Algebraic independence for values of integral curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)
• Algebraic leaves of algebraic foliations over number fields.
• Algebraic values of meromorphic maps
• Equations différentielles à points singuliers réguliers
• Nevanlinna theory and holomorphic mappings between algebraic varieties
• Formules de Jensen en plusieurs variables et applications arithmétiques
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• General Value Distribution Theory