English

A 2-adic control theorem for modular curves

Number Theory 2015-04-06 v1

Abstract

We study the behaviour of ordinary parts of the homology modules of modular curves, associated to a decreasing sequence of congruence subgroups Γ1(N2r){\Gamma}_1(N2^r) for r2r \geq 2, and prove a control theorem for these homology modules.

Keywords

Cite

@article{arxiv.1504.00746,
  title  = {A 2-adic control theorem for modular curves},
  author = {Narasimha Kumar},
  journal= {arXiv preprint arXiv:1504.00746},
  year   = {2015}
}
R2 v1 2026-06-22T09:09:21.459Z