Geodesic
Motives of some acyclic varieties
Homology, homotopy, and applications, Tome 13 (2011) no. 2, pp. 329-335.

Voir la notice de l'article provenant de la source International Press of Boston

We prove that the Voevodsky motive with $\mathbb{Z}$-coefficients (resp. $\mathbb{Q}$-coefficients) of a $\mathbb{Z}$-acylic (resp. $\mathbb{Q}$-acyclic) smooth complex variety of dimension $\leqslant 2$ is isomorphic to that of a point and discuss some related extensions.
DOI : 10.4310/HHA.2011.v13.n2.a20
Classification : 14F42, 14R05, 19E15
Keywords: $\mathbb{A}^1$-homotopy, motive 
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     author = {Aravind Asok},
     title = {Motives of some acyclic varieties},
     journal = {Homology, homotopy, and applications},
     pages = {329--335},
     publisher = {mathdoc},
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     number = {2},
     year = {2011},
     doi = {10.4310/HHA.2011.v13.n2.a20},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2011.v13.n2.a20/}
}
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Aravind Asok. Motives of some acyclic varieties. Homology, homotopy, and applications, Tome 13 (2011) no. 2, pp. 329-335. doi : 10.4310/HHA.2011.v13.n2.a20. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2011.v13.n2.a20/

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