109 citations · 267 across the 22 of their papers we have counts for
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On -adic interpolation of motivic Eisenstein classes
Guido Kings
In this paper we prove that the motivic Eisenstein classes associated to polylogarithms of commutative group schemes can be -adically interpolated in étale cohomology. This gene…
Polylogarithm for families of commutative group schemes
Annette Huber, Guido Kings
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 simpli…
Rankin--Eisenstein classes and explicit reciprocity laws
Guido Kings, David Loeffler, Sarah Livia Zerbes
We construct three-variable -adic families of Galois cohomology classes attached to Rankin convolutions of modular forms, and prove an explicit reciprocity law relating these cl…
Rankin--Eisenstein classes for modular forms
Guido Kings, David Loeffler, Sarah Livia Zerbes
In this paper we make a systematic study of certain motivic cohomology classes ("Rankin-Eisenstein classes") attached to the Rankin--Selberg convolution of two modular forms of wei…