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기하학수리물리연구단
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ON RATIONAL EISENSTEIN PRIMES AND THE RATIONAL CUSPIDAL GROUPS OF MODULAR JACOBIAN VARIETIES

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Title
ON RATIONAL EISENSTEIN PRIMES AND THE RATIONAL CUSPIDAL GROUPS OF MODULAR JACOBIAN VARIETIES
Author(s)
HWAJONG YOO
Subject
Cuspidal group, ; Eisenstein ideals
Publication Date
2019-08
Journal
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.372, no.4, pp.2429 - 2466
Publisher
AMER MATHEMATICAL SOC
Abstract
Let N be a non-squarefree positive integer and let l be an odd prime such that l(2) does not divide N. Consider the Hecke ring T(N) of weight 2 for Gamma(0)(N) and its rational Eisenstein primes of T(N) containing l. If m is such a rational Eisenstein prime, then we prove that m is of the form (l, I-M,N(D)), where we also define the ideal I-M,N(D) of T(N). Furthermore, we prove that C(N)[m] not equal 0, where C(N) is the rational cuspidal group of J(0)(N). To do this, we compute the precise order of the cuspidal divisor C-M,N(D) and the index of I-M,N(D) in T(N) circle times Z(l).c.2019 American Mathematical Society
URI
https://pr.ibs.re.kr/handle/8788114/6451
DOI
10.1090/tran/7645
ISSN
0002-9947
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
Files in This Item:
2019_HJY_On rational eisenstein primes and the rational cuspidal groups of modular jacobian varieties.pdfDownload

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