Heights and metrics with logarithmic singularities

DOI10.1515/CRELLE.2009.013zbMath1195.14033arXiv0704.1046MaRDI QIDQ3612190

Gerard Freixas i Montplet

Publication date: 3 March 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.1046

zbMATH Keywords

heightlog-log hermitian line bundle

Mathematics Subject Classification ID

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

Related Items (3)

An arithmetic Hilbert-Samuel theorem for pointed stable curves ⋮ Semi-abelian schemes and heights of cycles in moduli spaces of abelian varieties ⋮ An Arakelov tautological boundary divisor on \({\overline{\mathcal{M}}_{1,1}}\)

Cites Work

• On the determinant of the bundle of meromorphic quadratic differentials on the Deligne-Mumford compactification of the moduli space of Riemann surfaces
• Hirzebruch's proportionality theorem in the non-compact case
• A defect relation for equidimensional holomorphic mappings between algebraic varieties
• COHOMOLOGICAL ARITHMETIC CHOW RINGS
• On Obtaining a Positive Line Bundle from the Weil-Petersson Class
• Heights of Projective Varieties and Positive Green Forms

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