Locally equivalent correspondences

DOI10.5802/aif.3088zbMath1437.11154arXiv1505.04755OpenAlexW2963001293MaRDI QIDQ1687872

Benjamin Linowitz, Nicholas Miller, David B. McReynolds

Publication date: 4 January 2018

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.04755

zbMATH Keywords

Galois cohomologyBrauer groupsmaximal ordersarithemetic equivalence

Mathematics Subject Classification ID

Galois cohomology (11S25) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Brauer groups (algebraic aspects) (16K50) Galois cohomology of linear algebraic groups (11E72)

Related Items

Integral Gassman equivalence of algebraic and hyperbolic manifolds, Stronger arithmetic equivalence, On Locally GCD Equivalent Number Fields, Universal systole bounds for arithmetic locally symmetric spaces

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Arithmetic groups with isomorphic finite quotients.
• A refined notion of arithmetically equivalent number fields, and curves with isomorphic Jacobians
• The genus spectrum of a hyperbolic 3-manifold
• Arithmetic subgroups of algebraic groups
• Division algebras and noncommensurable isospectral manifolds
• Volumes of S-arithmetic quotients of semi-simple groups. With an appendix by Moshe Jarden and Gopal Prasad
• Finiteness theorems for discrete subgroups of bounded covolume in semi- simple groups
• Geodesics and commensurability classes of arithmetic hyperbolic 3-manifolds
• Weakly commensurable arithmetic groups and isospectral locally symmetric spaces
• The smallest arithmetic hyperbolic three-orbifold
• Isospectrality and commensurability of arithmetic hyperbolic 2- and 3- manifolds
• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
• Galois Cohomology
• The Magma algebra system. I: The user language
• Counting and effective rigidity in algebra and geometry
• On the rings of valuation vectors
• On adele rings of arithmetically equivalent fields
• An Embedding Theorem for Quaternion Algebras
• Zeta functions do not determine class numbers
• Geometric Spectra and Commensurability
• On Algebraic Groups and Discontinuous Groups