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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Kunneth formula for graded rings associated to $K$-theories of Rost motives
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by Nobuaki Yagita PDF
Proc. Amer. Math. Soc. 147 (2019), 4513-4526 Request permission

Abstract:

In this paper, we study the graded ring $gr^*(X)$ defined by $K$-theory of a twist flag variety $X$. In particular, the Kunneth map $gr^*(R’)\otimes gr^*(R’)\to gr^*(R)$ is studied explicitly for an original Rost motive $R’$ and a generalized Rost motive $R$. Using this, we give examples $Tor(X)^2\not =0$ for the ideal $Tor(X)$ of torsion elements in the Chow ring $CH^*(X)$.
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Additional Information
  • Nobuaki Yagita
  • Affiliation: Faculty of Education, Ibaraki University, Mito, Ibaraki, Japan
  • MR Author ID: 185110
  • Email: nobuaki.yagita.math@vc.ibaraki.ac.jp
  • Received by editor(s): June 14, 2018
  • Published electronically: July 1, 2019
  • Communicated by: Mark Behrens
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 4513-4526
  • MSC (2010): Primary 57T15, 20G15, 14C15
  • DOI: https://doi.org/10.1090/proc/14622
  • MathSciNet review: 4002560