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
關鍵字: Modular units;Cuspidal divisor class groups of modular curves
公開日期: 15-Jul-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/11536/149788
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2009.04.012
期刊: JOURNAL OF ALGEBRA
Volume: 322
起始頁: 514
結束頁: 553
Appears in Collections:Articles