On the rational cuspidal subgroup and the rational torsion points of Jo(pq)

For two distinct prime numbers p, q, we compute the rational cuspidal subgroup C(pq) of J0(pq) and determine the l-primary part of the rational torsion subgroup of the old subvariety of J0(pq) for most primes l.Some results of Berkoviˇc on the nontriviality of the Mordell-Weil group of some Eisen...

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Main Authors: Chua, Seng Kiat, Ling, San
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2012
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Online Access:https://hdl.handle.net/10356/94568
http://hdl.handle.net/10220/7617
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-945682023-02-28T19:28:47Z On the rational cuspidal subgroup and the rational torsion points of Jo(pq) Chua, Seng Kiat Ling, San School of Physical and Mathematical Sciences DRNTU::Science::Mathematics For two distinct prime numbers p, q, we compute the rational cuspidal subgroup C(pq) of J0(pq) and determine the l-primary part of the rational torsion subgroup of the old subvariety of J0(pq) for most primes l.Some results of Berkoviˇc on the nontriviality of the Mordell-Weil group of some Eisenstein factors of J0(pq) are also refined. Published version 2012-03-08T04:14:58Z 2019-12-06T18:58:20Z 2012-03-08T04:14:58Z 2019-12-06T18:58:20Z 1997 1997 Journal Article Chua, S. K., & Ling, S. (1997). On the rational cuspidal subgroup and the rational torsion points of Jo(pq). Proceedings of the American Mathematical Society, 125, 2255–2263. https://hdl.handle.net/10356/94568 http://hdl.handle.net/10220/7617 10.1090/S0002-9939-97-03874-4 en Proceedings of the American mathematical society ©1997 American Mathematical Society. This paper was published in Proceedings of the American Mathematical Society and is made available as an electronic reprint (preprint) with permission of American Mathematical Society. The paper can be found at http://dx.doi.org/10.1090/S0002-9939-97-03874-4. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 9 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Mathematics
spellingShingle DRNTU::Science::Mathematics
Chua, Seng Kiat
Ling, San
On the rational cuspidal subgroup and the rational torsion points of Jo(pq)
description For two distinct prime numbers p, q, we compute the rational cuspidal subgroup C(pq) of J0(pq) and determine the l-primary part of the rational torsion subgroup of the old subvariety of J0(pq) for most primes l.Some results of Berkoviˇc on the nontriviality of the Mordell-Weil group of some Eisenstein factors of J0(pq) are also refined.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Chua, Seng Kiat
Ling, San
format Article
author Chua, Seng Kiat
Ling, San
author_sort Chua, Seng Kiat
title On the rational cuspidal subgroup and the rational torsion points of Jo(pq)
title_short On the rational cuspidal subgroup and the rational torsion points of Jo(pq)
title_full On the rational cuspidal subgroup and the rational torsion points of Jo(pq)
title_fullStr On the rational cuspidal subgroup and the rational torsion points of Jo(pq)
title_full_unstemmed On the rational cuspidal subgroup and the rational torsion points of Jo(pq)
title_sort on the rational cuspidal subgroup and the rational torsion points of jo(pq)
publishDate 2012
url https://hdl.handle.net/10356/94568
http://hdl.handle.net/10220/7617
_version_ 1759854631205208064