Torsion 0-cycles with modulus on affine varieties

Binda, Federico (2018) Torsion 0-cycles with modulus on affine varieties. JOURNAL OF PURE AND APPLIED ALGEBRA, 222 (1). pp. 61-74. ISSN 0022-4049, 1873-1376

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Abstract

In this note, we show that given a smooth affine variety X over an algebraically closed field k and an effective (possibly non-reduced) Cartier divisor on it, the Chow group of zero cycles with modulus CH0(X vertical bar D) is torsion free, except possibly for p-torsion if the characteristic of k is p > 0. This generalizes to the relative setting classical results of Rojtman (for X smooth) and of Levine (for X singular). (C) 2017 Elsevier B.V. All rights reserved.

Item Type: Article
Uncontrolled Keywords: ZERO-CYCLES; SINGULAR-VARIETIES; RECIPROCITY SHEAVES; ALGEBRAIC-VARIETIES; O-CYCLES; THEOREM;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 24 Mar 2020 05:22
Last Modified: 24 Mar 2020 05:22
URI: https://pred.uni-regensburg.de/id/eprint/15500

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