Toward a classification of the motivic decompositions of homogeneous spaces
Toward a classification of the motivic decompositions of homogeneous spaces
In this thesis we study the Grothendieck Chow motives of projective homogeneous varieties, and their relations with classical invariants and questions of rational geometry. The motive (with ļ¬nite coeļ¬cients) of a projective homogeneous variety under the action of a semisimple aļ¬ne algebraic group G decomposes in an essentially unique way ā¦