English

Groupe de Chow d'une surface rationnelle sur un corps local

Algebraic Geometry 2010-03-15 v3 Number Theory

Abstract

We determine the Chow group of zero-cycles on a rational surface X defined over a finite extension K of the field of p-adic numbers (p a prime) when X is split by an unramified extension of K.

Keywords

Cite

@article{arxiv.math/0302157,
  title  = {Groupe de Chow d'une surface rationnelle sur un corps local},
  author = {Chandan Singh Dalawat},
  journal= {arXiv preprint arXiv:math/0302157},
  year   = {2010}
}

Comments

20 pages ; v.2 added a remark about the ramified case of the example ; v. 3 minor clarifications, ref.to math.AG/0302260 added

R2 v1 2026-07-22T16:51:55.928Z