The motive of a Pfister form

by Markus Rost (Preprint, January 1998, 13 pages)

We give details of the construction of the motive associated to a Pfister form announcend in an earlier paper from 1990.

The current version (of November 12, 1998) is still a draft.

Full text: [pdf]

Related:

  1. Karpenko, Nikita A. Characterization of minimal Pfister neighbors via Rost projectors. J. Pure Appl. Algebra 160 (2001), no. 2-3, 195-227. MR 1836000.
  2. Voevodsky, Vladimir. Motivic cohomology with Z/2-coefficients. Publ. Math. Inst. Hautes Études Sci. No. 98 (2003), 59-104. MR 2031199.
  3. Karpenko, Nikita; Merkurjev, Alexander. Rost projectors and Steenrod operations. Doc. Math. 7 (2002), 481-493. MR 2015051.
  4. Brosnan, Patrick. A short proof of Rost nilpotence via refined correspondences. Doc. Math. 8 (2003), 69-78. MR 2029161.
  5. Elman, Richard; Karpenko, Nikita; Merkurjev, Alexander. The algebraic and geometric theory of quadratic forms. Amer. Math. Soc. Colloq. Publ. 56, 2008. MR 2427530, Zbl 1165.11042.
  6. Quéguiner-Mathieu, Anne. Pfister forms in the algebraic and geometric theory of quadratic forms. Arch. Math. 121, No. 5-6, 523-536 (2023). MR 4675112, Zbl 1543.11046.

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