Generalized arithmetic intersection numbers
From MaRDI portal
Publication:2717084
DOI10.1515/crll.2001.043zbMath1084.14028OpenAlexW2070018373MaRDI QIDQ2717084
Publication date: 13 June 2001
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/crll.2001.043
Riemann zeta functionmodular curveslogarithmic singularitiesarithmetic intersection pairingPetersson metric
Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Arithmetic aspects of modular and Shimura varieties (11G18) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)
Related Items (16)
Moduli spaces and modular forms. Abstracts from the workshop held January 31 -- February 6, 2021 (hybrid meeting) ⋮ Borcherds products and arithmetic intersection theory on Hilbert modular surfaces ⋮ A genus two arithmetic Siegel-Weil formula on 𝑋₀(𝑁) ⋮ An arithmetic Hilbert-Samuel theorem for pointed stable curves ⋮ An Arakelov tautological boundary divisor on \({\overline{\mathcal{M}}_{1,1}}\) ⋮ Correspondences in Arakelov geometry and applications to the case of Hecke operators on modular curves ⋮ Riemann-Roch isometries in the non-compact orbifold setting ⋮ Arithmetic Siegel-Weil formula on \(X_{0}(N)\) ⋮ A Jensen–Rohrlich type formula for the hyperbolic 3-space ⋮ On the essential minimum of Faltings’ height ⋮ Twisted Hilbert modular surfaces, arithmetic intersections and the Jacquet-Langlands correspondence ⋮ Arakelov theory on Shimura varieties ⋮ The arithmetic Riemann-Roch theorem and the Jacquet-Langlands correspondence ⋮ Néron-Tate heights on algebraic curves and subgroups of the modular group ⋮ On the slopes of the lattice of sections of hermitian line bundles ⋮ Twisted arithmetic Siegel Weil formula on \(X_{0}(N)\)
Cites Work
This page was built for publication: Generalized arithmetic intersection numbers
