Publication: On projections of real algebraic varieties.
Loading...
Files
Official URL
Full text at PDC
Publication Date
1986
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Pacific Journal of Mathematics
Citations
Exportar
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).
Description
UCM subjects
Unesco subjects
Keywords
Citation
A-G] C. Andradas and J. M. Gamboa, A note on projections of real algebraic sets,
Pacific J. Math., 115 (1984), 1-11.
[B] G. W. Brumfiel, Partially ordered fields and semialgebraic geometry, London
Math. Soc. Lecture Notes 37, (1979).
[C-R] M. Coste and M. F. Roy, La topologie du spectre reel, Cont. Math., 8 (1982),
27-59.
[D-R] D. W. Dubois and T. Recio, Order extensions and real algebraic geometry, Cont.
Math., 8 (1982), 265-288.
[E-L-W] R. Elman, T. Y. Lam and A. Wadsworth, Orderings under field extensions, J.
reine ang. Math., 306 (1979), 7-27.
[H] R. Hartshorne, Algebraic Geometry, G.T.M. 52, Springer-Verlag, (1977).
[P] A. Prestel, Lectures on formally real fields, I.M.P.A. no. 25, (1975).