Kontsevich’s noncommutative numerical motives
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Tabuada_Kontsevich's noncommutative.pdf
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Author(s)
Marcolli, Matilde
Trigo Neri Tabuada, Goncalo Jorge
Date Issued
October 2012
Journal
Compositio Mathematica
Publisher
Cambridge University Press
Citation
Marcolli, Matilde, and Gonçalo Tabuada. “Kontsevich’s Noncommutative Numerical Motives.” Compositio Mathematica 148.6 (2012): 1811–1820.
Version
Original manuscript
Abstract
In this article we prove that Kontsevich’s category NC[subscript num](k)[subscript F] of noncommutative numerical motives is equivalent to the one constructed by the authors in [Marcolli and Tabuada, Noncommutative motives, numerical equivalence, and semisimplicity, Amer. J. Math., to appear, available at arXiv:1105.2950]. As a consequence, we conclude that NC[subscript num](k)[subscript F] is abelian semi-simple as conjectured by Kontsevich.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1112/s0010437x12000383
