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.
Rigidity for relative 0-Cycles / F. Binda, A. Krishna. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - 22:1(2021 Mar 30), pp. 241-267. [10.2422/2036-2145.201906_017]
Rigidity for relative 0-Cycles
F. Binda
;
2021
Abstract
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.File in questo prodotto:
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