finiteness theorem for zero-cycles over p-adic fields

• 成果类型: Article
• 署名作者: Saito, Shuji; Sato, Kanetomo; Jannsen, Uwe
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2010.172.1593
• 发表日期: 2010
• 页码: 1593-1639
• 关键词: chow group; hypersurface sections; bertini theorems; VARIETIES; subscheme

摘要

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.