67 citations · 210 across the 26 of their papers we have counts for
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math.NT2013★ 67 cited
Chow group of 0-cycles with modulus and higher dimensional class field theory
Moritz Kerz, Shuji Saito
One of the main results of this paper is a proof of the rank one case of an existence conjecture on lisse l-adic sheaves on a smooth variety over a finite field due to Deligne and…
math.NT2009
Ideles in higher dimension
Moritz Kerz
We propose a notion of idele class groups of finitely generated fields using the concept of Parshin chains. This new class group allows us to give an idelic interpretation of the h…
math.NT2008★ 1 cited
Covering data and higher dimensional global class field theory
Moritz Kerz, Alexander Schmidt
For a connected regular scheme X, flat and of finite type over Spec(Z), we construct a reciprocity homomorphism ρ_X: C_X --> π_1^\ab(X), which is surjective and whose kernel is the…