The Greatest Common Quotient of Borel-Serre and the Toroidal Compactifications of Locally Symmetric Spaces
dc.contributor.author | Ji, Lizhen | en_US |
dc.date.accessioned | 2006-09-08T19:42:04Z | |
dc.date.available | 2006-09-08T19:42:04Z | |
dc.date.issued | 1998-12 | en_US |
dc.identifier.citation | Ji, L.; (1998). "The Greatest Common Quotient of Borel-Serre and the Toroidal Compactifications of Locally Symmetric Spaces." Geometric and Functional Analysis 8(6): 978-1015. <http://hdl.handle.net/2027.42/41847> | en_US |
dc.identifier.issn | 1016-443X | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/41847 | |
dc.description.abstract | In this paper, we identify the greatest common quotient (GCQ) of the Borel-Serre compactification and the toroidal compactifications of Hermitian locally symmetric spaces with a new compactification. Using this compactification, we completely settle a conjecture of Harris-Zucker that this GCQ is equal to the Baily-Borel compactification. We also show that the GCQ of the reductive Borel-Serre compactification and the toroidal compactifications is the Baily-Borel compactification. There are two key ingredients in the proof: ergodicity of certain adjoint action on nilmanifolds and incompatibility between the ambient linear structure and the intrinsic Riemannian structure of homothety sections of symmetric cones. | en_US |
dc.format.extent | 593410 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Birkhäuser Verlag; Birkhäuser Verlag, Basel ; Springer Science+Business Media | en_US |
dc.subject.other | Legacy | en_US |
dc.title | The Greatest Common Quotient of Borel-Serre and the Toroidal Compactifications of Locally Symmetric Spaces | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA, e-mail: lji@math.lsa.umich.edu, US, | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/41847/1/39-8-6-978_80060978.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/s000390050121 | en_US |
dc.identifier.source | Geometric and Functional Analysis | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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