This item is non-discoverable
Loading...
Non-discoverable
Covolumes of nonuniform lattices in PU(n, 1)
Emery, V Stover, M
Emery, V
Stover, M
Citations
Altmetric:
Genre
Journal Article
Date
2014-02-01
Advisor
Committee member
Group
Department
Permanent link to this record
Collections
Research Projects
Organizational Units
Journal Issue
DOI
10.1353/ajm.2014.0007
Abstract
This paper studies the covolumes of nonuniform arithmetic lattices in PU(n,1). We determine the smallest covolume nonuniform arithmetic lattices for each n, the number of minimal covolume lattices for each n, and study the growth of the minimal covolume as n varies. In particular, there is a unique lattice (up to isomorphism) in PU(9,1) of smallest Euler-Poincaré characteristic amongst all nonuniform arithmetic lattices in PU(n,1).We also show that for each even n there are arbitrarily large families of nonisomorphic maximal nonuniform lattices in PU(n,1) of equal covolume. © 2014 by The Johns Hopkins University Press.
Description
Citation
Citation to related work
Project Muse
Has part
American Journal of Mathematics
ADA compliance
For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu