CM values of higher automorphic Green functions for orthogonal groups

DOI10.1007/s00222-021-01038-0OpenAlexW3137472415MaRDI QIDQ2049902

Stephan Ehlen, Tonghai Yang, Jan Hendrik Bruinier

Publication date: 27 August 2021

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.12084

zbMATH Keywords

Heegner divisorsShimura varietiesautomorphic Green functionsKuga-Sato varieties

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Complex multiplication and moduli of abelian varieties (11G15) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items

Average CM-values of higher Green's function and factorization ⋮ Higher Siegel theta lifts on Lorentzian lattices, harmonic Maass forms, and Eichler-Selberg type relations ⋮ Local Maass forms and Eichler-Selberg relations for negative-weight vector-valued mock modular forms ⋮ Algebraicity of higher Green functions at a CM point ⋮ Locally harmonic Maass forms and periods of meromorphic modular forms ⋮ Mock modular forms with integral Fourier coefficients

Uses Software

• SageMath

Cites Work

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