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- W2950705943 abstract "Grothendieck-Chow motives of quadric hypersurfaces have provided many insights into the theory of quadratic forms. Subsequently, the landscape of motives of more general projective homogeneous varieties has begun to emerge. In particular, there have been many results which relate the motive of a one homogeneous variety to motives of other simpler or smaller ones. In this paper, we exhibit a relationship between motives of two homogeneous varieties by producing a natural rational map between them which becomes a projective bundle morphism after being resolved. This allows one to use formulas for projective bundles and blowing up to relate the motives of the two varieties. We believe that in the future this ideas could be used to discover more relationships between other types of homogeneous varieties." @default.
- W2950705943 created "2019-06-27" @default.
- W2950705943 creator A5000681345 @default.
- W2950705943 date "2006-03-16" @default.
- W2950705943 modified "2023-09-27" @default.
- W2950705943 title "Motives of unitary and orthogonal homogeneous varieties" @default.
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- W2950705943 hasPublicationYear "2006" @default.
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