Borcherds products on unitary groups

DOI10.1007/s00208-013-0966-6zbMath1291.11088arXiv1210.2542OpenAlexW2097347347MaRDI QIDQ2448329

Eric Hofmann

Publication date: 30 April 2014

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2542

zbMATH Keywords

Heegner divisorspullback constructionKudla's program

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (8)

Exceptional jumps of Picard ranks of reductions of K3 surfaces over number fields ⋮ Modularity of special cycles on unitary Shimura varieties over CM-fields ⋮ Uniruledness of some low-dimensional ball quotients ⋮ Irregular cusps of ball quotients ⋮ Fano Shimura varieties with mostly branched cusps ⋮ LOCAL BORCHERDS PRODUCTS FOR UNITARY GROUPS ⋮ Weakly holomorphic modular forms on \(\Gamma _{0}(4)\) and Borcherds products on unitary group \(\mathrm{U}(2,1)\) ⋮ The construction of Green currents and singular theta lifts for unitary groups

Cites Work

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• Arithmetic theta lifting and \(L\)-derivatives for unitary groups. I
• Automorphic forms with singularities on Grassmannians
• The rationality of vector valued modular forms associated with the Weil representation
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• The Gross-Kohnen-Zagier theorem in higher dimensions
• Heights of Kudla-Rapoport divisors and derivatives of \(L\)-functions
• Compactification of arithmetic quotients of bounded symmetric domains
• BORCHERDS PRODUCTS FOR U(1,1)
• Local Borcherds products

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