標題: | Modular units and cuspidal divisor class groups of X(1)(N) |
作者: | Yang, Yifan 應用數學系 Department of Applied Mathematics |
公開日期: | 15-七月-2009 |
摘要: | In this article, we consider the group F(1)(infinity)(N) of modular units on X(1)(N) that have divisors supported on the cusps lying over infinity of X(0)(N), called the infinity-cusps. For each positive integer N, we will give an explicit basis for the group F(1)(infinity)(N). This enables us to compute the group structure of the rational torsion subgroup l(1)(infinity)(N) of the Jacobian J(1)(N) of X(1)(N) generated by the differences of the infinity-cusps. In addition, based on our numerical computation, we make a conjecture on the structure of the p-primary part of l(1)(infinity)(p(n)) for a regular prime p. (C) 2009 Elsevier Inc. All rights reserved. |
URI: | http://dx.doi.org/10.1016/j.jalgebra.2009.04.012 http://hdl.handle.net/11536/6955 |
ISSN: | 0021-8693 |
DOI: | 10.1016/j.jalgebra.2009.04.012 |
期刊: | JOURNAL OF ALGEBRA |
Volume: | 322 |
Issue: | 2 |
起始頁: | 514 |
結束頁: | 553 |
顯示於類別: | 期刊論文 |