An arithmetic Hilbert-Samuel theorem for pointed stable curves

DOI10.4171/JEMS/304zbMath1244.14019arXiv0803.2366MaRDI QIDQ409040

Gerard Freixas i Montplet

Publication date: 12 April 2012

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2366

zbMATH Keywords

hyperbolic metricSelberg zeta functionQuillen metricArakelov theoryMumford isomorphismpointed stable curve

Mathematics Subject Classification ID

Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (9)

Canonical Kähler metrics and arithmetics: generalizing Faltings heights ⋮ An arithmetic Hilbert–Samuel theorem for singular hermitian line bundles and cusp forms ⋮ Analytic torsion for surfaces with cusps. I: Compact perturbation theorem and anomaly formula ⋮ Analytic torsion for surfaces with cusps. II: Regularity, asymptotics and curvature theorem ⋮ Riemann-Roch isometries in the non-compact orbifold setting ⋮ Kähler-Einstein metrics on stable varieties and log canonical pairs ⋮ Asymptotic behavior of the Selberg zeta functions for degenerating families of hyperbolic manifolds ⋮ Introduction to arithmetic Hilbert-Samuel theorems ⋮ The arithmetic Riemann-Roch theorem and the Jacquet-Langlands correspondence

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