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    On the number of ends of rank one locally symmetric spaces

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    Genre
    Journal Article
    Date
    2013-05-13
    Author
    Stover, M
    Subject
    math.GT
    math.GT
    math.DG
    math.NT
    Permanent link to this record
    http://hdl.handle.net/20.500.12613/5962
    
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    DOI
    10.2140/gt.2013.17.905
    Abstract
    Let Y be a noncompact rank one locally symmetric space of finite volume. Then Y has a finite number e(Y) > 0 of topological ends. In this paper, we show that for any n ∈ N, the Y with e(Y) ≥ n that are arithmetic fall into finitely many commensurability classes. In particular, there is a constant cn such that n-cusped arithmetic orbifolds do not exist in dimension greater than cn. We make this explicit for one-cusped arithmetic hyperbolic n-orbifolds and prove that none exist for n ≥ 30.
    Citation to related work
    Mathematical Sciences Publishers
    Has part
    Geometry and Topology
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    For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
    ae974a485f413a2113503eed53cd6c53
    http://dx.doi.org/10.34944/dspace/5944
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