Algebraization for zero-cycles and the $p$-adic cycle class map

Morten Lüders

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arXiv · 1709.05622

Algebraization for zero-cycles and the $p$-adic cycle class map

Morten Lüders

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Abstract

Using an idelic argument and assuming the Gersten conjecture for Milnor K-theory, we show that the restriction map from one-cycles on a smooth projective scheme over a henselian local ring to a pro-system of thickened zero-cycles is surjective. We relate this restriction map to the $p$-adic cycle class map.

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Morten Lüders. 2017-09-17. Algebraization for zero-cycles and the $p$-adic cycle class map. https://arxiv.org/abs/1709.05622

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