Twisted arithmetic Siegel Weil formula on \(X_{0}(N)\)

DOI10.1016/j.jnt.2019.04.024zbMath1472.11188arXiv1801.01819OpenAlexW2963799855MaRDI QIDQ2312886

Tuoping Du, Tonghai Yang

Publication date: 18 July 2019

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

Full work available at URL: https://arxiv.org/abs/1801.01819

zbMATH Keywords

arithmetic intersectionKronecker limit formulatwisted arithmetic Siegel-Weil formula

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Complex multiplication and abelian varieties (14K22) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

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• Central derivatives of Eisenstein series and height pairings
• Arithmetic Siegel-Weil formula on \(X_{0}(N)\)
• Néron-Tate heights on algebraic curves and subgroups of the modular group
• Twisted traces of CM values of weak Maass forms
• Heights of Kudla-Rapoport divisors and derivatives of \(L\)-functions
• Generalized arithmetic intersection numbers
• TWISTED BORCHERDS PRODUCTS ON HILBERT MODULAR SURFACES AND THE REGULARIZED THETA LIFT
• COHOMOLOGICAL ARITHMETIC CHOW RINGS
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• Traces of CM values of modular functions

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