DC Field | Value | Language |
---|---|---|
dc.contributor.author | Baik, Hyungryul | ko |
dc.contributor.author | Shokrieh, Farbod | ko |
dc.contributor.author | Wu Chenxi | ko |
dc.date.accessioned | 2020-09-18T04:01:53Z | - |
dc.date.available | 2020-09-18T04:01:53Z | - |
dc.date.created | 2019-11-20 | - |
dc.date.created | 2019-11-20 | - |
dc.date.issued | 2020-07 | - |
dc.identifier.citation | JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, v.2020, no.764, pp.287 - 304 | - |
dc.identifier.issn | 0075-4102 | - |
dc.identifier.uri | http://hdl.handle.net/10203/276115 | - |
dc.description.abstract | We prove a generalized version of Kazhdan's theorem for canonical forms on Riemann surfaces. In the classical version, one starts with an ascending sequence { S n → S } of finite Galois covers of a hyperbolic Riemann surface S, converging to the universal cover. The theorem states that the sequence of forms on S inherited from the canonical forms on S n 's converges uniformly to (a multiple of) the hyperbolic form. We prove a generalized version of this theorem, where the universal cover is replaced with any infinite Galois cover. Along the way, we also prove a Gauss-Bonnet-type theorem in the context of arbitrary infinite Galois covers. | - |
dc.language | English | - |
dc.publisher | WALTER DE GRUYTER GMBH | - |
dc.title | Limits of canonical forms on towers of Riemann surfaces | - |
dc.type | Article | - |
dc.identifier.wosid | 000544259700009 | - |
dc.identifier.scopusid | 2-s2.0-85065601746 | - |
dc.type.rims | ART | - |
dc.citation.volume | 2020 | - |
dc.citation.issue | 764 | - |
dc.citation.beginningpage | 287 | - |
dc.citation.endingpage | 304 | - |
dc.citation.publicationname | JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | - |
dc.identifier.doi | 10.1515/crelle-2019-0007 | - |
dc.contributor.localauthor | Baik, Hyungryul | - |
dc.contributor.nonIdAuthor | Shokrieh, Farbod | - |
dc.contributor.nonIdAuthor | Wu Chenxi | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | SEQUENCES | - |
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