Geodesic
On a base change conjecture for higher zero-cycles
Homology, homotopy, and applications, Tome 20 (2018) no. 1, pp. 59-68.

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

We show the surjectivity of a restriction map for higher $(0, 1)$-cycles for a smooth projective scheme over an excellent henselian discrete valuation ring. This gives evidence for a conjecture by Kerz, Esnault and Wittenberg saying that base change holds for such schemes in general for motivic cohomology in degrees $(i, d)$ for fixed $d$ being the relative dimension over the base. Furthermore, the restriction map we study is related to a finiteness conjecture for the $n$-torsion of $\mathrm{CH}_0 (X)$, where $X$ is a variety over a $p$-adic field.
DOI : 10.4310/HHA.2018.v20.n1.a4
Classification : 14C25
Keywords: higher zero-cycles, restriction map, $n$-torsion 
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     author = {Morten L\"uders},
     title = {On a base change conjecture for higher zero-cycles},
     journal = {Homology, homotopy, and applications},
     pages = {59--68},
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     number = {1},
     year = {2018},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n1.a4/}
}
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Morten Lüders. On a base change conjecture for higher zero-cycles. Homology, homotopy, and applications, Tome 20 (2018) no. 1, pp. 59-68. doi : 10.4310/HHA.2018.v20.n1.a4. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n1.a4/

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