Bloch, Spencer and Esnault, Helene and Kerz, Moritz (2014) p-adic deformation of algebraic cycle classes. INVENTIONES MATHEMATICAE, 195 (3). pp. 673-722. ISSN 0020-9910, 1432-1297
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | RHAM-WITT COMPLEX; MILNOR K-THEORY; RINGS; CONJECTURE; HOMOLOGY; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Moritz Kerz |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 26 Nov 2019 13:51 |
| Last Modified: | 26 Nov 2019 13:51 |
| URI: | https://pred.uni-regensburg.de/id/eprint/10626 |
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