7 citations · 11 across the 8 of their papers we have counts for
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The geometric fundamental group of the affine line over a finite field
Henrik Russell
The affine line and the punctured affine line over a finite field F are taken as benchmarks for the problem of describing geometric étale fundamental groups. To this end, using a r…
Abelianized fundamental group of the affine space over a finite field and big Witt vectors in several variables
Henrik Russell
Let be a normal proper variety over a perfect field . We describe abelian coverings of X in terms of the functor of principal relative Cartier divis…
Geometric class field theory with bounded ramification
Henrik Russell
Let U be a smooth quasi-projective variety over a field k that is finite, the algebraic closure of a finite field or algebraically closed of characteristic 0. Let X be a suitable p…
Description of generalized Albanese varieties by curves
Henrik Russell
Let X be a projective variety over an algebraically closed base field, possibly singular. The aim of this paper is to show that the generalized Albanese variety of Esnault-Srinivas…
Albanese varieties of singular varieties over a perfect field
Henrik Russell
Let X be a projective variety, possibly singular. A generalized Albanese variety of X was constructed by Esnault, Srinivas and Viehweg over algebraically closed base field as a uni…
Albanese varieties with modulus and Hodge theory
Kazuya Kato, Henrik Russell
Let X be a proper smooth variety over the complex numbers. We consider the generalized Albanese variety Alb(X,Y) of X of modulus Y, which is a higher dimensional analogue of the ge…