Affine curves over an algebraically nonclosed field

Maria Grazia Marinari, Francesco Odetti and Mario Raimondo

Vol. 107 (1983), No. 1, 179–188

DOI: 10.2140/pjm.1983.107.179

Abstract

In this paper, different k-completions of a curve over an algebraically non-closed field k are compared. If the curve has k-points at infinity, then it is shown to admit a completion which is canonical. If k = R this is true also for rational curves.

Mathematical Subject Classification 2000

Primary: 14H99

Secondary: 14G30

Milestones

Received: 18 October 1980

Published: 1 July 1983