Quasi‐pullback of Borcherds products
From MaRDI portal
Publication:5110591
DOI10.1112/blms.12287zbMath1456.11083arXiv1801.08333OpenAlexW2981838911WikidataQ127010320 ScholiaQ127010320MaRDI QIDQ5110591
Publication date: 21 May 2020
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.08333
Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55)
Related Items
Borcherds products of half-integral weight ⋮ Algebra of Borcherds products ⋮ The rings of Hilbert modular forms for \(\mathbb{Q}(\sqrt{ 29})\) and \(\mathbb{Q}(\sqrt{ 37})\) ⋮ Analytic torsion for log-Enriques surfaces and Borcherds product ⋮ Simple lattices and free algebras of modular forms ⋮ Seesaw identities and theta contractions with generalized theta functions, and restrictions of theta lifts ⋮ Graded rings of Hermitian modular forms with singularities ⋮ The classification of 2-reflective modular forms ⋮ Theta lifts to certain cohomological representations of indefinite orthogonal groups ⋮ Binary theta functions and Borcherds products ⋮ Moduli of lattice polarized \(K3\) surfaces via relative canonical resolutions ⋮ Jacobi forms of indefinite lattice index ⋮ Twisted component sums of vector-valued modular forms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weil representations associated with finite quadratic modules
- On the converse theorem for Borcherds products
- A \(p\)-adic approach to the Weil representation of discriminant forms arising from even lattices
- On vector valued Siegel modular forms of degree 2 with small levels
- Faltings heights of CM cycles and derivatives of \(L\)-functions
- Automorphic forms with singularities on Grassmannians
- Reflection groups of Lorentzian lattices
- Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
- Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
- \(K3\) surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space
- The moduli space of Enriques surfaces and the fake monster Lie superalgebra
- The Kodaira dimension of the moduli of \(K3\) surfaces
- On the classification of automorphic products and generalized Kac-Moody algebras
- Some constructions of modular forms for the Weil representation of SL2(ℤ)
- Moduli of K3 Surfaces and Irreducible Symplectic Manifolds
- Siegel Modular Forms and Their Applications
- Analytic torsion for Borcea-Voisin threefolds
- Borcherds forms and generalizations of singular moduli
- The Weil Representation of and Some Applications
- INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
- Families of K3 surfaces
- Lorentzian Kac-Moody algebras with Weyl groups of 2-reflections
- K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space, II: A structure theorem for r(M) > 10
- ESTIMATE OF THE DIMENSIONS OF HILBERT MODULAR FORMS BY MEANS OF DIFFERENTIAL OPERATORS
