finiteness theorem for zero-cycles over p-adic fields

Saito, Shuji and Sato, Kanetomo and Jannsen, Uwe (2010) finiteness theorem for zero-cycles over p-adic fields. ANNALS OF MATHEMATICS, 172 (3). pp. 1593-1639. ISSN 0003-486X,

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Abstract

Let R be a henselian discrete valuation ring. Let X be a regular projective flat scheme over Spec (R) with generalized semistable reduction. We prove a bijectivity theorem for etale cycle class maps of the Chow group of 1-cycles on X. As an application, we prove a finiteness theorem for the Chow group of 0-cycles on a projective smooth variety over a p-adic field.

Item Type: Article
Uncontrolled Keywords: CHOW GROUP; HYPERSURFACE SECTIONS; BERTINI THEOREMS; VARIETIES; SUBSCHEME;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Professoren und akademische Räte im Ruhestand > Prof. Dr. Uwe Jannsen
Depositing User: Dr. Gernot Deinzer
Date Deposited: 06 Jul 2020 13:17
Last Modified: 06 Jul 2020 13:17
URI: https://pred.uni-regensburg.de/id/eprint/23911

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