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  4. Relations between the Chow motive and the noncommutative motive of a smooth projective variety

Relations between the Chow motive and the noncommutative motive of a smooth projective variety

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Author(s)
Bernardara, Marcello
•
Trigo Neri Tabuada, Goncalo Jorge
Date Issued
May 2015
Journal
Journal of Pure and Applied Algebra
Publisher
Elsevier
Citation
Bernardara, Marcello, and Gonçalo Tabuada. “Relations Between the Chow Motive and the Noncommutative Motive of a Smooth Projective Variety.” Journal of Pure and Applied Algebra 219, 11 (November 2015): 5068–5077 © 2015 Elsevier
Version
Original manuscript
Abstract
In this note we relate the notions of Lefschetz type, decomposability, and isomorphism for Chow motives with the notions of trivial type, decomposability, and isomorphism for noncommutative motives. Some examples, counter-examples, and applications are also described.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
http://creativecommons.org/licenses/by-nc-nd/4.0/
Persistent DSpace Link
http://hdl.handle.net/1721.1/112208
DOI of Published Version
https://doi.org/10.1016/J.JPAA.2015.05.002
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