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

Cited *0* time in
Cited *0* time in

- 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

- ISSN
- 0002-9947

- Appears in Collections:
- Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)