The classification of 2-reflective modular forms

DOI10.4171/jems/1358arXiv1906.10459MaRDI QIDQ6192224

Publication date: 11 March 2024

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.10459

zbMATH Keywords

Jacobi forms Borcherds products hyperbolic reflection groups reflective modular forms hyperbolic reflective lattices

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) (K3) surfaces and Enriques surfaces (14J28) Modular and automorphic functions (11F03) Other groups and their modular and automorphic forms (several variables) (11F55) Jacobi forms (11F50) Reflection groups, reflection geometries (51F15)

Cites Work

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Modular forms of orthogonal type and Jacobi theta-series
On the converse theorem for Borcherds products
On the maximal dimension of Lorentz lattices with cofinite reflection group
The theory of Jacobi forms
The monster Lie algebra
Automorphic forms with singularities on Grassmannians
Compactifications defined by arrangements. II: Locally symmetric varieties of type IV
Reflection groups of Lorentzian lattices
Frobenius manifold structure on orbit space of Jacobi groups. I
Borcherds products on $O(2,l)$ and Chern classes of Heegner divisors
On the Kodaira dimension of orthogonal modular varieties
A remark on discriminants of moduli of $K3$ surfaces as sets of zeros of automorphic forms
Generalized Kac--Moody algebras, automorphic forms and Conway's group. I
Automorphic forms on $O_{s+2,2}(\mathbb R)$ and infinite products
Weyl invariant Jacobi forms: a new approach
The Kodaira dimension of the moduli of $K3$ surfaces
On the classification of automorphic products and generalized Kac-Moody algebras
Automorphic products of singular weight for simple lattices
On unimodular integral quadratic forms
Arithmetic hyperbolic reflection groups
Uniruledness of orthogonal modular varieties
Moduli of K3 Surfaces and Irreducible Symplectic Manifolds
Entirety of cuspidal Eisenstein series on loop groups
Siegel automorphic form corrections of some Lorentzian Kac-Moody Lie algebras
Classification of $2$-reflective hyperbolic lattices of rank $4$
AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART I
AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART II
Families of K3 surfaces
On classification of Lorentzian Kac-Moody algebras
Conjecture on theta-blocks of order 1
Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac–Moody algebras
Lorentzian Kac-Moody algebras with Weyl groups of 2-reflections
Reflective Modular Forms: A Jacobi Forms Approach
Quasi‐pullback of Borcherds products
Antisymmetric paramodular forms of weight 3
Theta block conjecture for paramodular forms of weight 2
Reflective automorphic forms on lattices of squarefree level
Reflective modular forms and applications
Holomorphic Borcherds products of singular weight for simple lattices of arbitrary level
Automorphic products of singular weight

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