Luders, Morten (2018) ON A BASE CHANGE CONJECTURE FOR HIGHER ZERO-CYCLES. HOMOLOGY HOMOTOPY AND APPLICATIONS, 20 (1). pp. 59-68. ISSN 1532-0073, 1532-0081
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We show the surjectivity of a restriction map for higher (0, l)-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 CH0(X), where X is a variety over a p-adic field.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ALGEBRAIC CYCLES; THEOREMS; FIELDS; higher zero-cycles; restriction map; n-torsion |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 20 Mar 2020 09:43 |
| Last Modified: | 20 Mar 2020 09:43 |
| URI: | https://pred.uni-regensburg.de/id/eprint/15352 |
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