Classification of $2$-reflective hyperbolic lattices of rank $4$

DOI10.1090/S0077-1554-07-00160-4zbMath1207.11073MaRDI QIDQ3530544

Ernest B. Vinberg

Publication date: 20 October 2008

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

rootsorthogonal groupreflectionsquadratic latticeEuclidean latticehyperbolic latticeCoxeter polyhedronreflective lattice\(2\)-reflective lattice

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Automorphism groups of lattices (11H56)

Related Items (16)

K3 and Enriques Surfaces ⋮ Editors’ Preface ⋮ Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac–Moody algebras ⋮ A Hilbert irreducibility theorem for Enriques surfaces ⋮ Number of Kummer structures and moduli spaces of generalized Kummer surfaces ⋮ Finite subgroups of automorphisms of K3 surfaces ⋮ From geometry to arithmetic of compact hyperbolic Coxeter polytopes ⋮ The classification of 2-reflective modular forms ⋮ Cox rings of \(K3\) surfaces of Picard number three ⋮ Elliptic Fibrations on K3 Surfaces ⋮ \(K3\) surfaces of zero entropy admitting an elliptic fibration with only irreducible fibers ⋮ The reflective Lorentzian lattices of rank 3 ⋮ The cone conjecture for Calabi-Yau pairs in dimension 2 ⋮ Arithmetic hyperbolic reflection groups ⋮ Classification of $(1{,}{\kern1pt}2)$-reflective anisotropic hyperbolic lattices of rank $4$ ⋮ On the geometry of K3 surfaces with finite automorphism group and no elliptic fibrations

Cites Work

• On unimodular integral quadratic forms
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