Coleman Map in Coleman Families

Abstract

In this paper, we aimed at constructing a two-variable Coleman map for a given $p$-adic family of eigen cuspforms with a fixed non-zero slope (Coleman family). A Coleman map is a machinary which transforms a hypothetical $p$-adic family of zeta elements to a $p$-adic $L$-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.

The paper has been withdrawn following a negative report from a referee, pointing to some issues in Section 5

Cited by in corpus (1)

• Iwasawa Main Conjecture for $p$-adic families of elliptic modular cuspforms