The classification of free algebras of orthogonal modular forms

DOI10.1112/S0010437X21007429zbMath1482.11074arXiv2006.02291OpenAlexW3188383525MaRDI QIDQ5009396

Haowu Wang

Publication date: 23 August 2021

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

Full work available at URL: https://arxiv.org/abs/2006.02291

zbMATH Keywords

reflection groupsweighted projective spacesmodular forms for orthogonal groupssymmetric domains of type IV

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Reflection groups, reflection geometries (51F15) Automorphic functions in symmetric domains (32N15)

Related Items (5)

Simple lattices and free algebras of modular forms ⋮ Graded rings of Hermitian modular forms with singularities ⋮ Siegel modular forms of degree two and level five ⋮ Weyl invariant Jacobi forms: a new approach ⋮ Maximal discrete subgroups of 𝑆𝑂⁺(2,𝑛+2)

Cites Work

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• Modular forms of orthogonal type and Jacobi theta-series
• On the converse theorem for Borcherds products
• Some free algebras of automorphic forms on symmetric domains of type IV
• Abelianisation of orthogonal groups and the fundamental group of modular varieties
• The theory of Jacobi forms
• Automorphic forms with singularities on Grassmannians
• Graded rings of Hermitian modular forms of degree 2
• Some modular varieties of low dimension
• Reflection groups of Lorentzian lattices
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• On the Kodaira dimension of orthogonal modular varieties
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• The graded ring of Hermitian modular forms of degree 2 over \(\mathbb Q(\sqrt{-2})\)
• Weyl invariant \(E_8\) Jacobi forms
• On some free algebras of orthogonal modular forms
• Free algebras of Hilbert automorphic forms
• On some free algebras of automorphic forms
• A criterion of smoothness at infinity for an arithmetic quotient of the future tube
• On the classification of automorphic products and generalized Kac-Moody algebras
• Compactification of arithmetic quotients of bounded symmetric domains
• Die Bestimmung der Funktionen zur Hilbertschen Modulgruppe des Zahlkörpers \(Q(\sqrt 5)\)
• Invarianten endlicher Gruppen und biholomorphe Abbildungen. (Invariants of finite groups and holomorphic mappings)
• The graded ring of quaternionic modular forms of degree 2
• The graded ring of modular forms on the Cayley half-space of degree two
• Some modular varieties of low dimension. II
• On the algebra of Siegel modular forms of genus $2$
• Moduli of K3 Surfaces and Irreducible Symplectic Manifolds
• Entirety of cuspidal Eisenstein series on loop groups
• Theta type Jacobi forms
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• On Siegel modular forms. Part I.
• Lorentzian Kac-Moody algebras with Weyl groups of 2-reflections
• SIMPLE GRADED RINGS OF SIEGEL MODULAR FORMS, DIFFERENTIAL OPERATORS AND BORCHERDS PRODUCTS
• Reflective Modular Forms: A Jacobi Forms Approach
• Reflective automorphic forms on lattices of squarefree level
• Reflective modular forms and applications
• On Siegel Modular Forms of Genus Two
• Automorphic products of singular weight
• Finite Unitary Reflection Groups
• Invariants of Finite Groups Generated by Reflections

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