Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 
 

 

Kunneth formula for graded rings associated to $ K$-theories of Rost motives


Author: Nobuaki Yagita
Journal: Proc. Amer. Math. Soc. 147 (2019), 4513-4526
MSC (2010): Primary 57T15, 20G15, 14C15
DOI: https://doi.org/10.1090/proc/14622
Published electronically: July 1, 2019
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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)$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 57T15, 20G15, 14C15

Retrieve articles in all journals with MSC (2010): 57T15, 20G15, 14C15


Additional Information

Nobuaki Yagita
Affiliation: Faculty of Education, Ibaraki University, Mito, Ibaraki, Japan
Email: nobuaki.yagita.math@vc.ibaraki.ac.jp

DOI: https://doi.org/10.1090/proc/14622
Keywords: Kunneth formula, Rost motive, Chow ring, Morava $K$-theory, versal torsor, twisted flag variety
Received by editor(s): June 14, 2018
Published electronically: July 1, 2019
Communicated by: Mark Behrens
Article copyright: © Copyright 2019 American Mathematical Society