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On Eisenstein ideals and the cuspidal group of J 0(N)

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Title
On Eisenstein ideals and the cuspidal group of J 0(N)
Author(s)
Hwajong Yoo
Publication Date
2016-07
Journal
ISRAEL JOURNAL OF MATHEMATICS, v.214, no.1, pp.359 - 377
Publisher
HEBREW UNIV MAGNES PRESS
Abstract
Let CN be the cuspidal subgroup of the Jacobian J0(N) for a square-free integer N > 6. For any Eisenstein maximal ideal m of the Hecke ring of level N, we show that CN[m] ≠ 0. To prove this, we calculate the index of an Eisenstein ideal I contained in m by computing the order of the cuspidal divisor annihilated by I. © 2016, Hebrew University of Jerusalem
URI
https://pr.ibs.re.kr/handle/8788114/2805
ISSN
0021-2172
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
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