A Finiteness theorem for zero-cycles over $p$-adic fields

Shuji Saito; Kanetomo Sato

A Finiteness theorem for zero-cycles over $p$-adic fields

Algebraic Geometry 2010-01-24 v6 Number Theory

Authors: Shuji Saito , Kanetomo Sato

Abstract

In this paper we prove a finiteness result concerning the Chow group of zero-cycles for varieties over $p$ -adic local fields. In this final version, there are several corrections concerning mathematical symbols and reference to related known results.

Keywords

algebraic cycles and chow groups fields p-adic hodge theory

Cite

@article{arxiv.math/0605165,
  title  = {A Finiteness theorem for zero-cycles over $p$-adic fields},
  author = {Shuji Saito and Kanetomo Sato},
  journal= {arXiv preprint arXiv:math/0605165},
  year   = {2010}
}

Comments

42 pages (final version, to appear in Ann. of Math., accepted on September 2007) There is no mathematical change from the previous version. Several minor points has been improved, and a new reference [CT5] has been added

A Finiteness theorem for zero-cycles over $p$-adic fields

Abstract

Keywords

Cite

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