Matroids motives, and a conjecture of Kontsevich
Belkale, Prakash ; Brosnan, Patrick
Duke Math. J., Tome 120 (2003) no. 3, p. 147-188 / Harvested from Project Euclid
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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.
Publié le : 2003-01-15
Classification:  11G25,  05B35,  14G10,  81T18 
@article{1085598238,
     author = {Belkale, Prakash and Brosnan, Patrick},
     title = {Matroids motives, and a conjecture of Kontsevich},
     journal = {Duke Math. J.},
     volume = {120},
     number = {3},
     year = {2003},
     pages = { 147-188},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1085598238}
}

Belkale, Prakash; Brosnan, Patrick. Matroids motives, and a conjecture of Kontsevich. Duke Math. J., Tome 120 (2003) no. 3, pp.  147-188. http://gdmltest.u-ga.fr/item/1085598238/