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기하학수리물리연구단
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A conjecture of Gross and Zagier: Case e (Q) tor ≅ Z&/3Z

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dc.contributor.authorByeon D.-
dc.contributor.authorTaekyung Kim-
dc.contributor.authorYhee D.-
dc.date.available2020-01-31T00:53:43Z-
dc.date.created2019-07-23-
dc.date.issued2019-10-
dc.identifier.issn1793-0421-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/6829-
dc.description.abstract© 2019 World Scientific Publishing Company.Let E be an elliptic curve defined over Q of conductor N, c the Manin constant of E, and m the product of Tamagawa numbers of E at prime divisors of N. Let K be an imaginary quadratic field where all prime divisors of N split in K, PK the Heegner point in E(K), and III(E/K) the Shafarevich-Tate group of E over K. Let 2uK be the number of roots of unity contained in K. Gross and Zagier conjectured that if PK has infinite order in E(K), then the integer c m uK |III(E/K)|1 2 is divisible by |E(Q)tor|. In this paper, we show that this conjecture is true if E(Q)torZ/3Z;-
dc.language영어-
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD-
dc.titleA conjecture of Gross and Zagier: Case e (Q) tor ≅ Z&/3Z-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000489021900003-
dc.identifier.scopusid2-s2.0-85067185550-
dc.identifier.rimsid68854-
dc.contributor.affiliatedAuthorTaekyung Kim-
dc.identifier.doi10.1142/S1793042119501008-
dc.identifier.bibliographicCitationINTERNATIONAL JOURNAL OF NUMBER THEORY, v.15, no.09, pp.1793 - 1800-
dc.relation.isPartOfINTERNATIONAL JOURNAL OF NUMBER THEORY-
dc.citation.titleINTERNATIONAL JOURNAL OF NUMBER THEORY-
dc.citation.volume15-
dc.citation.number09-
dc.citation.startPage1793-
dc.citation.endPage1800-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusELLIPTIC-CURVES-
dc.subject.keywordPlusTORSION-
dc.subject.keywordAuthorElliptic curves-
dc.subject.keywordAuthorManin constant-
dc.subject.keywordAuthorTamagawa number-
dc.subject.keywordAuthorShafarevich-Tate group-
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Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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