Generalized modular forms with a cuspidal divisor
نویسندگان
چکیده
منابع مشابه
Modular Units and Cuspidal Divisor Class Groups of X1(n)
Abstract. In this article, we consider the group F∞ 1 (N) of modular units on X1(N) that have divisors supported on the cusps lying over∞ of X0(N), called the ∞-cusps. For each positive integer N , we will give an explicit basis for the group F∞ 1 (N). This enables us to compute the group structure of the rational torsion subgroup C∞ 1 (N) of the Jacobian J1(N) of X1(N) generated by the differe...
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The theory of theta functions for arithmetic groups that act on the Drinfeld upper half-plane is extended to allow degenerate parameters. This is used to investigate the cuspidal divisor class groups of Drinfeld modular curves. These groups are nite for congruence subgroups and may be described through the corresponding quotients of the Bruhat-Tits tree by . The description given is fairly expl...
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We consider the generalized Jacobian J̃0(N) of a modular curveX0(N)with respect to a reduced divisor given by the sum of all cusps on it. WhenN is a power of a prime≥ 5, we exhibit that the group of rational torsion points J̃0(N)(Q)Tor tends to be much smaller than the classical Jacobian. 2010 Mathematics Subject Classification: Primary 14H40; Secondary 11G16, 11F03, 14G35.
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2021
ISSN: ['0065-1036', '1730-6264']
DOI: https://doi.org/10.4064/aa190903-15-6