Intersection numbers of modular correspondences for genus zero modular curves

DOI10.1016/j.jnt.2019.08.015zbMath1440.11070arXiv1806.01751OpenAlexW2974487211WikidataQ114157227 ScholiaQ114157227MaRDI QIDQ2288307

Yuya Murakami

Publication date: 17 January 2020

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

Full work available at URL: https://arxiv.org/abs/1806.01751

zbMATH Keywords

modular curvesquadratic formsintersection numbermodular correspondencesmodular polynomialsKudla's problem

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Quadratic forms over global rings and fields (11E12) Modular and Shimura varieties (14G35) Modular correspondences, etc. (11F32)

Related Items (5)

A criterion of algebraic independence of values of modular functions and an application to infinite products involving Fibonacci and Lucas numbers ⋮ Recurrence relations satisfied by the traces of singular moduli for \(\Gamma_0(N)\) ⋮ The intersection multiplicity of intersection points over algebraic curves ⋮ Hurwitz class numbers with level and modular correspondences ⋮ Corrigendum to: ``Intersection numbers of modular correspondences for genus zero modular curves

Cites Work

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• Algebraic cycles on Shimura varieties of orthogonal type
• On the intersection of modular correspondences
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• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• A note on the Siegel-Eisenstein series of weight 2 on \(Sp_ 2(\mathbb{Z})\)
• Torsion-free genus zero congruence subgroups of \(\text{PSL}_2(\mathbb R)\)
• Intersection of modular polynomials

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