15 January 2003 Matroids motives, and a conjecture of Kontsevich
Prakash Belkale, Patrick Brosnan
Duke Math. J. 116(1): 147-188 (15 January 2003). DOI: 10.1215/S0012-7094-03-11615-4

Abstract

We show that a certain class of varieties with origin in physics generates (additively) the Denef-Loeser ring of motives. In particular, this disproves a conjecture of M. Kontsevich on the number of points of these varieties over finite fields.

Citation

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Prakash Belkale. Patrick Brosnan. "Matroids motives, and a conjecture of Kontsevich." Duke Math. J. 116 (1) 147 - 188, 15 January 2003. https://doi.org/10.1215/S0012-7094-03-11615-4

Information

Published: 15 January 2003
First available in Project Euclid: 26 May 2004

zbMATH: 1076.14026
MathSciNet: MR1950482
Digital Object Identifier: 10.1215/S0012-7094-03-11615-4

Subjects:
Primary: 11G25
Secondary: 05B35 , 14G10 , 81T18

Rights: Copyright © 2003 Duke University Press

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Vol.116 • No. 1 • 15 January 2003
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