7 citations · 11 across the 8 of their papers we have counts for
9 papers
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…
Modulus of a rational map into a commutative algebraic group
Kazuya Kato, Henrik Russell
For a rational map from a normal algebraic variety to a commutative algebraic group , we define the modulus of as an effective divisor on . We study the…