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THE CONSERVATION OF NUMBER PRINCIPLE IN REAL ALGEBRAIC GEOMETRY

Published online by Cambridge University Press:  31 July 2003

W. KUCHARZ
W. KUCHARZ
Affiliation:
Department of Mathematics and Statistics University of New Mexico, Albuquerque, New Mexico 87131-1141 U.S.A. e-mail: kucharz@math.unm.edu
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Abstract

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The classical conservation of number principle is an important result in algebraic geometry. We present a version of this principle suitable for the study of topological properties of real algebraic varieties. Our self-contained topological proof does not depend on the intersection theory of algebraic cycles. Some applications are included.

Keywords

14P2514C25
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 45 , Issue 2 , May 2003 , pp. 217 - 224
Copyright
2003 Glasgow Mathematical Journal Trust