On the slopes of the lattice of sections of hermitian line bundles

DOI10.1016/j.jnt.2021.04.011zbMath1490.14043arXiv1812.06849OpenAlexW3170455835WikidataQ114157005 ScholiaQ114157005MaRDI QIDQ2043491

Ted Chinburg, Quentin Guignard, Christophe Soule

Publication date: 2 August 2021

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.06849

zbMATH Keywords

hermitian line bundlecusp formssuccessive minimaArakelov theorycapacity theory

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Modular and Shimura varieties (14G35) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Cites Work

• Mass equidistribution for Hecke eigenforms
• Big line bundles over arithmetic varieties
• Capacity theory on algebraic curves
• On the relation between Cantor's capacity and the sectional capacity
• Arithmetic Hilbert-Samuel theorem
• Slopes of adelic vector bundles over global fields
• Finite morphisms to projective space and capacity theory
• Generalized arithmetic intersection numbers
• Convergence des polygones de Harder-Narasimhan
• The special values of the zeta functions associated with cusp forms
• Potential theory and Lefschetz theorems for arithmetic surfaces
• Heights of Projective Varieties and Positive Green Forms
• Existence of the sectional capacity
• Positive Line Bundles on Arithmetic Varieties
• Transforming metrics on a line bundle to the Okounkov body
• Mesures et équidistribution sur les espaces de Berkovich
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