Polylogarithm for families of commutative group schemes

Abstract

We generalize the definition of the polylogarithm classes to the case of commutative group schemes, both in the sheaf theoretic and the motivic setting. This generalizes and simplifies the existing cases.

36 pages

References in corpus (3)

• Topological polylogarithms and $p$-adic interpolation of $L$-values of totally real fields
• On the interior motive of certain Shimura varieties: the case of Picard surfaces
• Motivic Hodge modules

Cited by in corpus (8)

• Canonical Equivariant Cohomology Classes Generating Zeta Values of Totally Real Fields
• Eisenstein cocycles in motivic cohomology
• Eisenstein-Kronecker classes, integrality of critical values of Hecke $L$-functions and $p$-adic interpolation
• $p$-adic Polylogarithms and $p$-adic Hecke $L$-functions for Totally Real Fields
• Hyodo-Kato theory with syntomic coefficients
• The Hodge realization of the polylogarithm on the product of multiplicative groups
• The Maillot-Rössler current and the polylogarithm on abelian schemes
• The Hodge Realization of the Polylogarithm and the Shintani Generating Class for Totally Real Fields