Coleman Map in Coleman Families

Filippo Alberto Edoardo Nuccio Mortarino Majno Di Capriglio (1) , Tadashi Ochiai

1 CTN - Combinatoire, théorie des nombres

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 machinery 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 preprint is now retracted.

Domaines: Théorie des nombres [math.NT]

Filippo Alberto Edoardo Nuccio Mortarino Majno Di Capriglio, Tadashi Ochiai. Coleman Map in Coleman Families. 2019. ⟨hal-02083751⟩