Suslin homology via cycles with modulus and applications
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- Trans. Amer. Math. Soc. 376 (2023), 1445-1473 Request permission
Abstract:
We show that for a smooth projective variety $X$ over a field $k$ and a reduced effective Cartier divisor $D \subset X$, the Chow group of 0-cycles with modulus $CH_0(X|D)$ coincides with the Suslin homology $H^S_0(X \setminus D)$ under some necessary conditions on $k$ and $D$. We derive several consequences, and we answer to a question of Barbieri-Viale and Kahn.References
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Additional Information
- Federico Binda
- Affiliation: Dipartimento di Matematica “Federigo Enriques”, Università degli Studi di Milano, Via Cesare Saldini 50, 20133 Milano, Italy
- MR Author ID: 1183287
- ORCID: 0000-0002-3476-440X
- Email: federico.binda@unimi.it
- Amalendu Krishna
- Affiliation: Department of Mathematics, Indian Institute of Science, Bangalore 560012, India
- MR Author ID: 703987
- Email: amalenduk@iisc.ac.in
- Received by editor(s): April 21, 2022
- Received by editor(s) in revised form: August 23, 2022, and August 31, 2022
- Published electronically: November 9, 2022
- © Copyright 2022 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 376 (2023), 1445-1473
- MSC (2020): Primary 14C25; Secondary 14F42, 19E15
- DOI: https://doi.org/10.1090/tran/8815
- MathSciNet review: 4531681