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An obstruction to finding algebraic models for smooth manifolds with prescribed algebraic submanifolds

Published online by Cambridge University Press:  26 March 2001

ARZU ÇELIKTEN  and
YILDIRAY OZAN
ARZU ÇELIKTEN
Affiliation:
Department of Mathematics, Balıkesir University, 10100 Balıkesir, Turkey; e-mail: [email protected]
YILDIRAY OZAN
Affiliation:
Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey; e-mail: [email protected]
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Abstract

Let N ⊆ M be a pair of closed smooth manifolds and L an algebraic model for the submanifold N. In this paper, we will give an obstruction to finding an algebraic model X of M so that the submanifold N corresponds in X to an algebraic subvariety isomorphic to L.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 130 , Issue 2 , March 2001 , pp. 281 - 286
Copyright
2001 Cambridge Philosophical Society

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