16 citations · 42 across the 21 of their papers we have counts for
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math.NT2018
On residue maps for affine curves
Igor A. Rapinchuk
We establish several compatibility results between residue maps in étale and Galois cohomology that arise naturally in the analysis of smooth affine algebraic curves having good re…
math.RA2018
The finiteness of the genus of a finite-dimensional division algebra, and some generalizations
Vladimir I. Chernousov, Andrei S. Rapinchuk, Igor A. Rapinchuk
We prove that the genus of a finite-dimensional division algebra is finite whenever the center is a finitely generated field of any characteristic. We also discuss potential applic…