Binda, F and Krishna, A (2023) SUSLIN HOMOLOGY VIA CYCLES WITH MODULUS AND APPLICATIONS. In: Transactions of the American Mathematical Society, 376 (2). pp. 1445-1473.
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Official URL: https://doi.org/10.1090/tran/8815
Abstract
We show that for a smooth projective variety X over a field k and a reduced effective Cartier divisor D ⊂ X, the Chow group of 0-cycles with modulus CH0(X∣D) coincides with the Suslin homology H0S(X ∖ D) under some necessary conditions on k and D. We derive several consequences, and we answer to a question of Barbieri-Viale and Kahn.
| Item Type: | Journal Article |
|---|---|
| Publication: | Transactions of the American Mathematical Society |
| Publisher: | American Mathematical Society |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | algebraic cycles; K-theory; motivic cohomology |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 10 Feb 2023 04:23 |
| Last Modified: | 10 Feb 2023 04:23 |
| URI: | https://eprints.iisc.ac.in/id/eprint/80139 |
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