A restriction isomorphism for cycles of relative dimension zero

Moritz Kerz (1) , Hélène Esnault (2) , Olivier Wittenberg (3, 4)

1 Fakultät für Mathematik - Universität Regensburg
2 Department of Mathematics and Computer Science
3 CNRS - Centre National de la Recherche Scientifique
4 DMA - Département de Mathématiques et Applications - ENS Paris

We study the restriction map to the closed fiber of a regular projective scheme over an excellent henselian discrete valuation ring, for a cohomological version of the Chow group of relative zero-cycles. Our main result extends the work of Saito-Sato to general perfect residue fields.

Domaines: Géométrie algébrique [math.AG]

Moritz Kerz, Hélène Esnault, Olivier Wittenberg. A restriction isomorphism for cycles of relative dimension zero. Cambridge Journal of Mathematics, 2016, 4 (2), pp.163-196. ⟨10.4310/CJM.2016.v4.n2.a1⟩. ⟨hal-02371585⟩