Graded rings of Hermitian modular forms with singularities

DOI10.1007/s00229-021-01367-7OpenAlexW3175574596MaRDI QIDQ2686598

Brandon Williams, Haowu Wang

Publication date: 28 February 2023

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.15985

zbMATH Keywords

graded ringsfree algebrasHermitian modular forms

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55)

Related Items (1)

On Hermitian Eisenstein series of degree \(2\)

Uses Software

• SageMath
• GitHub

Cites Work

• Unnamed Item
• On the converse theorem for Borcherds products
• The Maaß space on the Hermitian half-space of degree 2
• The theory of Jacobi forms
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• Compactifications defined by arrangements. II: Locally symmetric varieties of type IV
• Graded rings of Hermitian modular forms of degree 2
• The graded ring of Hermitian modular forms of degree 2 over \(\mathbb Q(\sqrt{-2})\)
• The Gross-Kohnen-Zagier theorem in higher dimensions
• Congruence subgroups and orthogonal groups
• Two graded rings of Hermitian modular forms
• Graded rings of paramodular forms of levels 5 and 7
• The maximal discrete extension of \(\mathrm{SL}_2(\mathcal {O}_K)\) for an imaginary quadratic number field \(K\)
• The classification of free algebras of orthogonal modular forms
• Quasi‐pullback of Borcherds products

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