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A finiteness theorem for zero-cycles over<i>p</i>-adic fields

A finiteness theorem for zero-cycles over<i>p</i>-adic fields

Let R be a henselian discrete valuation ring.Let X be a regular projective flat scheme over Spec.R/ with generalized semistable reduction.We prove a bijectivity theorem for étale cycle class maps of the Chow group of 1-cycles on X.As an application, we prove a finiteness theorem for the Chow group of …