Local Borcherds products

DOI10.5802/aif.1812zbMath0966.11021OpenAlexW2313458759MaRDI QIDQ5928016

Jan Hendrik Bruinier, Eberhard Freitag

Publication date: 20 March 2001

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2001__51_1_1_0

zbMATH Keywords

Automorphic formsautomorphic productsHeegner divisorslocal Picard groupsorthogonal groups

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Classical groups (algebro-geometric aspects) (14L35)

Related Items (9)

Borcherds products and arithmetic intersection theory on Hilbert modular surfaces ⋮ Special cycles on toroidal compactifications of orthogonal Shimura varieties ⋮ On the converse theorem for Borcherds products ⋮ Compactifications defined by arrangements. I: The ball quotient case. ⋮ Borcherds products on unitary groups ⋮ A CONVERSE THEOREM FOR BORCHERDS PRODUCTS ON ⋮ Compactifications defined by arrangements. II: Locally symmetric varieties of type IV ⋮ LOCAL BORCHERDS PRODUCTS FOR UNITARY GROUPS ⋮ Hilbert Modular Forms and Their Applications

Cites Work

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• The theory of Jacobi forms
• Plurisubharmonische Funktionen in komplexen Räumen
• Automorphic forms with singularities on Grassmannians
• Die irreduziblen Darstellungen der Gruppen \(SL_2(Z_p)\), insbesondere \(SL_2(Z_2)\). I
• Engendrement par des séries theta de certains espaces de formes modulaires
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• Borcherds products and Chern classes of Hirzebruch-Zagier divisors
• The Gross-Kohnen-Zagier theorem in higher dimensions

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