English

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

Algebraic Geometry 2019-10-29 v3

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 pp-adic cycle class map.

Keywords

Cite

@article{arxiv.1709.05622,
  title  = {Algebraization for zero-cycles and the $p$-adic cycle class map},
  author = {Morten Lüders},
  journal= {arXiv preprint arXiv:1709.05622},
  year   = {2019}
}

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Published version

R2 v1 2026-06-22T21:45:42.463Z