Lueders, Morten (2020) DEFORMATION THEORY OF THE CHOW GROUP OF ZERO CYCLES. QUARTERLY JOURNAL OF MATHEMATICS, 71 (2). pp. 677-701. ISSN 0033-5606, 1464-3847
Full text not available from this repository. (Request a copy)Abstract
We study the deformations of the Chow group of zerocycles of the special fibre of a smooth scheme over a Henselian discrete valuation ring. Our main tools are Bloch's formula and differential forms. As a corollary we get an algebraization theorem for thickened zero cycles previously obtained using idelic techniques. In the course of the proof we develop moving lemmata and Lefschetz theorems for cohomology groups with coefficients in differential forms.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HYPERSURFACE SECTIONS; CONJECTURE; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Mar 2021 12:42 |
| Last Modified: | 22 Mar 2021 12:58 |
| URI: | https://pred.uni-regensburg.de/id/eprint/44464 |
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