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COMPLEXIFICATION OF REAL ALGEBRAIC VARIETIES AND VANISHING OF HOMOLOGY CLASSES

Published online by Cambridge University Press:  18 April 2001

J. BOCHNAK  and
W. KUCHARZ
J. BOCHNAK
Affiliation:
Department of Mathematics, Vrije Universiteit, De boelelaan 1081 A, 1081 HV, Amsterdam, The Netherlands; e-mail: [email protected]
W. KUCHARZ
Affiliation:
Department of Mathematics, University of New Mexico, Albuquerque, NM 87131, USA; e-mail: [email protected]
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Abstract

Let X be a nonsingular real algebraic variety, and let X([Copf ]) be its nonsingular projective complexification. We study the following question: when does the homology class represented by X in the homology group of X([Copf ]) vanish? An application concerning the structure of the set of regular mappings is given.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 1 , January 2001 , pp. 32 - 40
Copyright
© The London Mathematical Society 2001

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