Krishna, Amalendu ; Park, Jinhyun (2015) On additive higher chow groups of affine schemes Documenta Mathematica, 21 . pp. 49-89. ISSN 1431-0635
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Official URL: https://www.math.uni-bielefeld.de/documenta/vol-21...
Abstract
We show that the multivariate additive higher Chow groups of a smooth affine k-scheme Spec (R) essentially of finite type over a perfect field k of characteristic ≠ 2 form a differential graded module over the big de Rham-Witt complex WmΩ•R. In the univariate case, we show that additive higher Chow groups of Spec (R) form a Witt-complex over R. We use these structures to prove an etale descent for multivariate additive higher Chow groups.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to European Mathematical Society. |
| Keywords: | Algebraic Cycle; Additive Higher Chow Group; Witt Vectors; De Rham-Witt Complex |
| ID Code: | 102556 |
| Deposited On: | 09 Mar 2018 10:48 |
| Last Modified: | 09 Mar 2018 10:48 |
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