Analytic Curves in Algebraic Varieties over Number Fields

DOI10.1007/978-0-8176-4745-2_3zbMath1201.14016arXivmath/0702593OpenAlexW4298415379MaRDI QIDQ4929755

Antoine Chambert-Loir, Jean-Benoît Bost

Publication date: 24 September 2010

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702593

zbMATH Keywords

Arakelov geometryrigid analytic geometrycapacity theoryslope inequalityalgebricity of formal subschemesBorel-dwork rationality criterion

Mathematics Subject Classification ID

Rigid analytic geometry (14G22) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Formal neighborhoods in algebraic geometry (14B20)

Related Items (4)

Numerical equivalence of \(\mathbb{R} \)-divisors and Shioda-Tate formula for arithmetic varieties ⋮ Algebraization, transcendence, and \(D\)-group schemes ⋮ Algebraic solutions of differential equations over ℙ1 −{0,1,∞} ⋮ Simply connected varieties in characteristic

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