Algebraic points on Shimura curves of $Gamma_{0}(p)$-type (IV) (Algebraic Number Theory and Related Topics 2013)

Arai, Keisuke

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http://hdl.handle.net/2433/241271

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DCフィールド	値	言語
dc.contributor.author	Arai, Keisuke	en
dc.contributor.alternative	新井, 啓介	ja
dc.contributor.transcription	アライ, ケイスケ	ja-Kana
dc.date.accessioned	2019-05-13T07:50:11Z	-
dc.date.available	2019-05-13T07:50:11Z	-
dc.date.issued	2015-09	-
dc.identifier.issn	1881-6193	-
dc.identifier.uri	http://hdl.handle.net/2433/241271	-
dc.description	"Algebraic Number Theory and Related Topics 2013". December 9～13, 2013. edited by Tadashi Ochiai, Takeshi Tsuji and Iwao Kimura. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.	en
dc.description.abstract	In previous articles, we proved that there are no points rational over a fixed number field on the Shimura curve of $Gamma$_{0}(p)-type for every sufficiently large prime number p under a mild assumption. In this article, (1) we generalize the previous result to an infinite family of number fields, and (2) give examples not satisfying the mild assumption as mentioned above.	en
dc.format.mimetype	application/pdf	-
dc.language.iso	eng	-
dc.publisher	Research Institute for Mathematical Sciences, Kyoto University	en
dc.publisher.alternative	京都大学数理解析研究所	ja
dc.rights	© 2015 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.	en
dc.subject	11G18	en
dc.subject	14G05	en
dc.subject	rational points	en
dc.subject	Shimura curves	en
dc.subject.ndc	410	-
dc.title	Algebraic points on Shimura curves of $Gamma_{0}(p)$-type (IV) (Algebraic Number Theory and Related Topics 2013)	en
dc.type	departmental bulletin paper	-
dc.type.niitype	Departmental Bulletin Paper	-
dc.identifier.ncid	AA12196120	-
dc.identifier.jtitle	数理解析研究所講究録別冊	ja
dc.identifier.volume	B53	-
dc.identifier.spage	3	-
dc.identifier.epage	11	-
dc.textversion	publisher	-
dc.sortkey	01	-
dc.address	School of Science and Technology for Future Life, Tokyo Denki University	en
dcterms.accessRights	open access	-
dc.identifier.pissn	1881-6193	-
dc.identifier.jtitle-alternative	RIMS Kokyuroku Bessatsu	en
出現コレクション:	B53 Algebraic Number Theory and Related Topics 2013

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