BROWSE

Related Scientist

Researcher

유화종
기하학 수리물리 연구단
more info

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

Cited 0 time in webofscience Cited 0 time in scopus
13 Viewed 1 Downloaded
Title
ON RATIONAL EISENSTEIN PRIMES AND THE RATIONAL CUSPIDAL GROUPS OF MODULAR JACOBIAN VARIETIES
Author(s)
HWAJONG YOO
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
ISSN
0002-9947
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
Files in This Item:
2019_HJY_On rational eisenstein primes and the rational cuspidal groups of modular jacobian varieties.pdfDownload

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse