Journal
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE
Volume 22, Issue 1, Pages 241-267Publisher
SCUOLA NORMALE SUPERIORE
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- DFG SFB/CRC 1085 Higher Invariants
- University of Regensburg
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This paper explores the relation between the Chow group of relative 0-cycles and the Levine-Weibel Chow group on the special fiber of a regular scheme under certain extra assumptions, showing that the two Chow groups are isomorphic with finite coefficients. This generalizes a result of Esnault, Kerz and Wittenberg.
We present a relation between the classical Chow group of relative 0-cycles on a regular scheme X, projective and flat over an excellent Henselian discrete valuation ring, and the Levine-Weibel Chow group of 0-cycles on the special fiber. We show that these two Chow groups are isomorphic with finite coefficients under extra assumptions. This generalizes a result of Esnault, Kerz and Wittenberg.
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