Kontsevich’s noncommutative numerical motives

Author(s)
Marcolli, Matilde; Trigo Neri Tabuada, Goncalo Jorge
Thumbnail
DownloadTabuada_Kontsevich's noncommutative.pdf (141.9Kb)
OPEN_ACCESS_POLICY
Terms of use
Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/
Metadata
Show full item record
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.
Date issued
2012-10
URI
http://hdl.handle.net/1721.1/105202
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
0010-437X
1570-5846
Collections