Coleman Map in Coleman Families
Number Theory
2020-10-14 v4
Abstract
In this paper, we aimed at constructing a two-variable Coleman map for a given -adic family of eigen cuspforms with a fixed non-zero slope (Coleman family). A Coleman map is a machinary which transforms a hypothetical -adic family of zeta elements to a -adic -function. The result would be a non-ordinary generalization of a two-variable Coleman map for a given Hida deformation obtained by the second-named author.
Keywords
Cite
@article{arxiv.1606.04441,
title = {Coleman Map in Coleman Families},
author = {Filippo A. E. Nuccio and Tadashi Ochiai},
journal= {arXiv preprint arXiv:1606.04441},
year = {2020}
}
Comments
The paper has been withdrawn following a negative report from a referee, pointing to some issues in Section 5