Borcherds products and Chern classes of Hirzebruch-Zagier divisors

DOI10.1007/s002220050341zbMath1011.11027OpenAlexW2019358869MaRDI QIDQ1805881

Jan Hendrik Bruinier

Publication date: 4 June 2003

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

Full work available at URL: https://doi.org/10.1007/s002220050341

zbMATH Keywords

Heegner divisorsHilbert modular formsBorcherds productsDoi-Naganuma liftinglifting from elliptic modular forms

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (16)

CM-values of Hilbert modular functions ⋮ Borcherds products and arithmetic intersection theory on Hilbert modular surfaces ⋮ Harmonic Maass forms associated to real quadratic fields ⋮ Cycle integrals of the \(j\)-function and mock modular forms ⋮ Complex multiplication cycles and Kudla-Rapoport divisors ⋮ Automorphic Green functions associated with the secondary spherical functions ⋮ The integral representation of automorphic Green's functions associated with Hirzebruch-Zagier divisors ⋮ Local Borcherds products ⋮ On two geometric theta lifts ⋮ Hilbert Modular Forms and Their Applications ⋮ Modular Cauchy kernel corresponding to the Hecke curve ⋮ Symmetries for Siegel theta functions, Borcherds lifts and automorphic Green functions ⋮ Regularized inner products of modular functions ⋮ Reflection groups of Lorentzian lattices ⋮ Equidistribution of Fourier coefficients of integral weight Maass-Poincaré series ⋮ SYMMETRIES FOR BORCHERDS LIFTS ON HILBERT MODULAR GROUPS AND HIRZEBRUCH–ZAGIER DIVISORS

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