Binda, Federico (2018) A CYCLE CLASS MAP FROM CHOW GROUPS WITH MODULUS TO RELATIVE K-THEORY. DOCUMENTA MATHEMATICA, 23. pp. 407-444. ISSN 1431-0643,
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Let (X) over bar be a smooth quasi-projective d-dimensional variety over a field k and let D be an effective, non-reduced, Cartier divisor on it such that its support is strict normal crossing. In this note, we construct cycle class maps from (a variant of) the higher Chow group with modulus of the pair ((X) over bar; D) in the range (d+n, n) to the relative K-groups K-n((X) over bar; D) for every n >= 0.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ZERO-CYCLES; 0-CYCLES; Cycles with modulus; relative K-theory; cycle class map; non-A(1)-invariant motives |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 20 Mar 2020 05:29 |
| Last Modified: | 20 Mar 2020 05:29 |
| URI: | https://pred.uni-regensburg.de/id/eprint/15224 |
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