Some modular varieties of low dimension

DOI10.1006/aima.1998.1882zbMath0974.11028OpenAlexW2494870212MaRDI QIDQ1578072

Carl Friedrich Hermann, Eberhard Freitag

Publication date: 21 December 2000

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1998.1882

zbMATH Keywords

modular varietiesarithmetic groupsprojective modelsBailey Borel compactification

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (27)

The moduli space of Enriques surfaces and Borcherds products ⋮ The graded ring of Hermitian modular forms of degree 2 over \(\mathbb Q(\sqrt{-2})\) ⋮ Monogenic modular forms in two and several real and complex vector variables ⋮ Quaternionic theta constants ⋮ THETA SERIES OVER THE HURWITZ QUATERNIONS ⋮ Some modular varieties of low dimension. II ⋮ Modular forms for the even modular lattice of signature (2,10) ⋮ Orthogonal Eisenstein series at harmonic points and modular forms of singular weight ⋮ From sum of two squares to arithmetic Siegel–Weil formulas ⋮ Simple lattices and free algebras of modular forms ⋮ Orthogonal Eisenstein series and theta lifts ⋮ On some free algebras of orthogonal modular forms ⋮ Vector-valued Hermitian and quaternionic modular forms ⋮ Binary theta functions and Borcherds products ⋮ Modular forms for the \(A_1\)-tower ⋮ Cones of Heegner divisors ⋮ How to implement a modular form ⋮ Computing Borcherds products ⋮ On the number of cusps of orthogonal Shimura varieties ⋮ On the lifting of elliptic cusp forms to cusp forms on quaternionic unitary groups ⋮ Congruence subgroups and orthogonal groups ⋮ Theta functions on Hermitian symmetric domains and fock representations ⋮ A five-dimensional modular variety ⋮ Higher-dimensional ball quotients and the invariant quintic ⋮ The Restriction of Octonionic Theta Constants to the Quaternionic Half-Space ⋮ The classification of free algebras of orthogonal modular forms ⋮ The graded ring of quaternionic modular forms of degree 2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modular forms on half-spaces of quaternions
• Vahlen's group of Clifford matrices and spin-groups
• Multiplizitäten unendlich-ferner Spitzen
• On the geometry of a Siegel modular threefold
• Algebraische Eigenschaften der lokalen Ringe in den Spitzen der Hilbertschen Modulgruppen
• Hilbert modular forms for the field \(\mathbb Q(\sqrt 6 )\)
• Fortsetzung von automorphen Funktionen
• The geometry of some special arithmetic quotients
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• Multiplier systems for the modular group on the 27-dimensional exceptional domain

This page was built for publication: Some modular varieties of low dimension