Cuspidal divisor class groups of non-split Cartan modular curves
Carlucci, Pierfrancesco
Original · EN
I find an explicit description of modular units in terms of Siegel functions for the modular curves X+ns(pᵏ) associated to the normalizer of a non-split Cartan subgroup of level pᵏ where p=2,3 is a prime. The Cuspidal Divisor Class Group C+ns(pᵏ) on X+ns(pᵏ) is explicitly described as a module over the group ring R = Z[(Z/pᵏZ)*/{± 1}]. In this paper I give a formula involving generalized Bernoulli numbers B₂,ᵪ for |C+ns(pᵏ)|.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.