Matches in SemOpenAlex for { <https://semopenalex.org/work/W2324084335> ?p ?o ?g. }
Showing items 1 to 54 of
54
with 100 items per page.
- W2324084335 endingPage "243" @default.
- W2324084335 startingPage "243" @default.
- W2324084335 abstract "The purpose of this paper is to determine the group of all automorphisms of the field generated by automorphic functions with respect to infinitely many mutually commensurable discrete subgroups of the group of all automorphisms of a bounded symmetric domain. In the case where either the dimension of the domain is one or the quotient spaces are compact, and also in some other cases, the automorphism groups have been determined by Ihara [4], Pjateckii-Shapiro and Shafarevic [6], and Shimura [7]. We will determine the group of all automorphisms under the assumption that the quotient spaces of the domain by discrete groups are isomorphic to algebraic varieties (not necessarily complete or non-singular) and the maps of the algebraic varieties corresponding to the natural projection maps of the quotient spaces are algebraic. By virtue of the result of Baily and Borel [2], this condition is satisfied if the discrete subgroups are arithmetic subgroups of a semi-simple algebraic group. Since useful applications arise mainly in the arithmetic cases, the reader may assume, without losing much substance, that the discrete groups are arithmetic subgroups of a semi-simple algebraic group. I would like to express my deep gratitude to Professor G. Shimura and Professor A. Borel for their reading the entire manuscript and for giving many useful suggestions, and to Professor J-I. Igusa for valuable conversations which helped to simplify parts of the proof." @default.
- W2324084335 created "2016-06-24" @default.
- W2324084335 creator A5027573514 @default.
- W2324084335 date "1972-03-01" @default.
- W2324084335 modified "2023-09-26" @default.
- W2324084335 title "On Automorphism Groups of the Fields of Automorphic Functions" @default.
- W2324084335 cites W2013008559 @default.
- W2324084335 cites W2014291406 @default.
- W2324084335 cites W2058913746 @default.
- W2324084335 cites W2092940386 @default.
- W2324084335 cites W2136325799 @default.
- W2324084335 cites W2280357718 @default.
- W2324084335 cites W2335759464 @default.
- W2324084335 doi "https://doi.org/10.2307/1970798" @default.
- W2324084335 hasPublicationYear "1972" @default.
- W2324084335 type Work @default.
- W2324084335 sameAs 2324084335 @default.
- W2324084335 citedByCount "15" @default.
- W2324084335 countsByYear W23240843352013 @default.
- W2324084335 crossrefType "journal-article" @default.
- W2324084335 hasAuthorship W2324084335A5027573514 @default.
- W2324084335 hasConcept C104559423 @default.
- W2324084335 hasConcept C118712358 @default.
- W2324084335 hasConcept C132817261 @default.
- W2324084335 hasConcept C202444582 @default.
- W2324084335 hasConcept C2988750069 @default.
- W2324084335 hasConcept C33923547 @default.
- W2324084335 hasConceptScore W2324084335C104559423 @default.
- W2324084335 hasConceptScore W2324084335C118712358 @default.
- W2324084335 hasConceptScore W2324084335C132817261 @default.
- W2324084335 hasConceptScore W2324084335C202444582 @default.
- W2324084335 hasConceptScore W2324084335C2988750069 @default.
- W2324084335 hasConceptScore W2324084335C33923547 @default.
- W2324084335 hasIssue "2" @default.
- W2324084335 hasLocation W23240843351 @default.
- W2324084335 hasOpenAccess W2324084335 @default.
- W2324084335 hasPrimaryLocation W23240843351 @default.
- W2324084335 hasRelatedWork W1985218657 @default.
- W2324084335 hasRelatedWork W2008610760 @default.
- W2324084335 hasRelatedWork W2029328554 @default.
- W2324084335 hasRelatedWork W2094532370 @default.
- W2324084335 hasRelatedWork W2136357364 @default.
- W2324084335 hasRelatedWork W2167154330 @default.
- W2324084335 hasRelatedWork W2255528727 @default.
- W2324084335 hasRelatedWork W3098790080 @default.
- W2324084335 hasRelatedWork W3216076173 @default.
- W2324084335 hasRelatedWork W4244465134 @default.
- W2324084335 hasVolume "95" @default.
- W2324084335 isParatext "false" @default.
- W2324084335 isRetracted "false" @default.
- W2324084335 magId "2324084335" @default.
- W2324084335 workType "article" @default.