The goal of this dissertation is to show how to compute K -groups of the Weil transfer of a scheme.
First we give unified construction of Weil transfer of algebras, schemes, and sheaves with respect to arbitrary separable field extension L / F . Then we consider motivic category [Special characters omitted.] of pairs (smooth projective scheme, separable algebra) over a given field. We further use the technique of polynomial functors to demonstrate the existence of the Weil transfer functor [Special characters omitted.] .
Finally we explain how one can compute K -groups of schemes obtained by means of Weil restriction. In particular we show how to compute K -groups of Weil transfer of Severi-Brauer variety and of projective quadric.
My Research
