Properties of cuspidal divisor class numbers of non-split Cartan modular curves

2016/05/30 by Pierfrancesco Carlucci, Carlucci, Pierfrancesco
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1605.09323

11 pages

arxiv created 2016/05/30 · arxiv updated 2016/05/31

Abstract

Let \mathfrakC⁺_ns(p) be the Cuspidal Divisor Class Group of the modular curves X⁺_ns(p) associated to the normalizer of a non-split Cartan subgroup of level p. I study the p-primary part of \mathfrakC⁺_ns(p) and estimate the order of growth of |\mathfrakC⁺_ns(p)| .

Related

• Cuspidal divisor class groups of non-split Cartan modular curves
• Modular forms invariant under non-split Cartan subgroups
• Regular models of modular curves in prime level over \mathbb Z_p^ur
• The rational cuspidal subgroup of J₀(N)
• Functions and differentials on the non-split Cartan modular curve of level 11