p-adic deformation of algebraic cycle classes

• 成果类型: Article
• 署名作者: Bloch, Spencer; Esnault, Helene; Kerz, Moritz
• 署名单位: Free University of Berlin; University of Regensburg
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-013-0461-4
• 发表日期: 2014
• 页码: 673-722
• 关键词: rham-witt complex; milnor k-theory; rings; conjecture; HOMOLOGY

摘要

We study the p-adic deformation properties of algebraic cycle classes modulo rational equivalence. We show that the crystalline Chern character of a vector bundle on the closed fibre lies in a certain part of the Hodge filtration if and only if, rationally, the class of the vector bundle lifts to a formal pro-class in K-theory on the p-adic scheme.