Matches in SemOpenAlex for { <https://semopenalex.org/work/W2116989005> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W2116989005 endingPage "671" @default.
- W2116989005 startingPage "653" @default.
- W2116989005 abstract "Satake has constructed compactifications of symmetric spaces D=G/K which (under a condition called geometric rationality by Casselman) yield compactifications of the corresponding locally symmetric spaces. The different compactifications depend on the choice of a representation of G. One example is the Baily-Borel-Satake compactification of a Hermitian locally symmetric space; Baily and Borel proved this is always geometrically rational. Satake compactifications for which all the real boundary components are equal-rank symmetric spaces are a natural generalization of the Baily-Borel-Satake compactification. Recent work (see math.RT/0112250, math.RT/0112251) indicates that this is the natural setting for many results about cohomology of compactifications of locally symmetric spaces. In this paper we prove any Satake compactification for which all the real boundary components are equal-rank symmetric spaces is geometrically rational aside from certain rational rank 1 or 2 exceptions; we completely analyze geometric rationality for these exceptional cases. The proof uses Casselman's criterion for geometric rationality. We also prove that a Satake compactification is geometrically rational if the representation is defined over the rational numbers." @default.
- W2116989005 created "2016-06-24" @default.
- W2116989005 creator A5034881704 @default.
- W2116989005 date "2004-01-01" @default.
- W2116989005 modified "2023-10-01" @default.
- W2116989005 title "Geometric rationality of equal-rank Satake compactifications" @default.
- W2116989005 cites W1575722002 @default.
- W2116989005 cites W1592466548 @default.
- W2116989005 cites W1757009134 @default.
- W2116989005 cites W1967812229 @default.
- W2116989005 cites W2000487342 @default.
- W2116989005 cites W2024283190 @default.
- W2116989005 cites W2066038589 @default.
- W2116989005 cites W2088620727 @default.
- W2116989005 cites W2092369625 @default.
- W2116989005 cites W2319666400 @default.
- W2116989005 cites W2335759464 @default.
- W2116989005 cites W63516667 @default.
- W2116989005 doi "https://doi.org/10.4310/mrl.2004.v11.n5.a9" @default.
- W2116989005 hasPublicationYear "2004" @default.
- W2116989005 type Work @default.
- W2116989005 sameAs 2116989005 @default.
- W2116989005 citedByCount "4" @default.
- W2116989005 countsByYear W21169890052021 @default.
- W2116989005 crossrefType "journal-article" @default.
- W2116989005 hasAuthorship W2116989005A5034881704 @default.
- W2116989005 hasBestOaLocation W21169890051 @default.
- W2116989005 hasConcept C111472728 @default.
- W2116989005 hasConcept C114614502 @default.
- W2116989005 hasConcept C138885662 @default.
- W2116989005 hasConcept C164226766 @default.
- W2116989005 hasConcept C201717286 @default.
- W2116989005 hasConcept C202444582 @default.
- W2116989005 hasConcept C33923547 @default.
- W2116989005 hasConceptScore W2116989005C111472728 @default.
- W2116989005 hasConceptScore W2116989005C114614502 @default.
- W2116989005 hasConceptScore W2116989005C138885662 @default.
- W2116989005 hasConceptScore W2116989005C164226766 @default.
- W2116989005 hasConceptScore W2116989005C201717286 @default.
- W2116989005 hasConceptScore W2116989005C202444582 @default.
- W2116989005 hasConceptScore W2116989005C33923547 @default.
- W2116989005 hasIssue "5" @default.
- W2116989005 hasLocation W21169890051 @default.
- W2116989005 hasLocation W21169890052 @default.
- W2116989005 hasLocation W21169890053 @default.
- W2116989005 hasOpenAccess W2116989005 @default.
- W2116989005 hasPrimaryLocation W21169890051 @default.
- W2116989005 hasRelatedWork W2087734572 @default.
- W2116989005 hasRelatedWork W2088849544 @default.
- W2116989005 hasRelatedWork W2327188743 @default.
- W2116989005 hasRelatedWork W2964175299 @default.
- W2116989005 hasRelatedWork W3098790080 @default.
- W2116989005 hasRelatedWork W3100194145 @default.
- W2116989005 hasRelatedWork W3102408541 @default.
- W2116989005 hasRelatedWork W3135637466 @default.
- W2116989005 hasRelatedWork W4230292203 @default.
- W2116989005 hasRelatedWork W4234996786 @default.
- W2116989005 hasVolume "11" @default.
- W2116989005 isParatext "false" @default.
- W2116989005 isRetracted "false" @default.
- W2116989005 magId "2116989005" @default.
- W2116989005 workType "article" @default.