On projections of real algebraic varieties

Carlos Andradas Heranz and José Manuel Gamboa Mutuberría

Vol. 121 (1986), No. 2, 281–291

DOI: 10.2140/pjm.1986.121.281

Abstract

In this paper we generalize an earlier result of the authors, showing that any closed semialgebraic set whose Zariski-closure is irreducible, is the projection under a finite map of an irreducible real algebraic set (see Theorem 3.2 below).

Mathematical Subject Classification 2000

Primary: 14G30, 14G30

Secondary: 12D15

Milestones

Received: 7 June 1984

Revised: 22 October 1984

Published: 1 February 1986