Sur la projection de variétés algébriques réelles

Daniel Pecker

Vol. 152 (1992), No. 1, 165–173

DOI: 10.2140/pjm.1992.152.165

Abstract

In this paper we give the following characterization: A semi-algebraic subset of ℝⁿ is the projection of an irreducible algebraic subset of ℝⁿ⁺¹ if and only if its Zariski closure is irreducible.

Mathematical Subject Classification 2000

Primary: 14P10

Milestones

Received: 23 August 1990

Revised: 18 February 1991

Published: 1 January 1992