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- W4245140131 abstract "This chapter introduces the notion of a Rost motive, which is a summand of the motive of a Rost variety đ. It highlights the theorem that, assuming that Rost motives exist and H90(n â 1) holds, then đģ<sup>đ+1</sup> <sub>Êt</sub>(đ, â¤(đ)) injects into đģ<sup>đ+1</sup> <sub>Êt</sub>(đ(đ), â¤(đ)). While there may be many Rost varieties associated to a given symbol, there is essentially only one Rost motive. The Rost motive captures the part of the cohomology of a Rost variety đ. Since a Rost motive is a special kind of symmetric Chow motive, the chapter begins by recalling what this means. It then introduces the notion of đ-duality. This duality plays an important role in the axioms defining Rost motives, as well as a role in the construction of the Rost motive in the next chapter. Finally, this chapter assumes that Rost motives exist and proves a key theorem." @default.
- W4245140131 created "2022-05-12" @default.
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- W4245140131 date "2019-06-11" @default.
- W4245140131 modified "2023-09-28" @default.
- W4245140131 title "Rost Motives and H90" @default.
- W4245140131 doi "https://doi.org/10.23943/princeton/9780691191041.003.0004" @default.
- W4245140131 hasPublicationYear "2019" @default.
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