Alexander Schmidt: Motivic aspects of anabelian geometry

       Author: Alexander Schmidt
       Title:  Motivic aspects of anabelian geometry
       Pages:  15
       in:  Advanced Studies in Pure Mathematics 63, 2012, Galois–Teichmüller Theory and Arithmetic Geometry, pp. 503-517

       Abstract: We discuss the role which might be played in anabelian geometry by the étale homotopy type of Artin and Mazur. We quote some results around the question how local the construction is. Furthermore, we show that, after completion away from the residue characteristics, the functor étale homotopy type factors through the motivic A1-homotopy category of Morel-Voevodsky.

        pdf-file 63117.pdf.  

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