On $p$-adic interpolation of motivic Eisenstein classes

Abstract

In this paper we prove that the motivic Eisenstein classes associated to polylogarithms of commutative group schemes can be $p$-adically interpolated in \'etale cohomology. This generalizes results for elliptic curves obtained in our former work. Already for one dimensional commutative groups the results proved here are much more flexible as they allow to treat degeneration questions easily.