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REAL ABELIAN VARIETIES WITH MANY LINE BUNDLES

Published online by Cambridge University Press:  24 March 2003

NURIA JOGLAR-PRIETO  and
JÁNOS KOLLÁR
NURIA JOGLAR-PRIETO
Affiliation:
I. T. en Informática de Sistemas, CES Felipe II (Universidad Complutense de Madrid), C/ Capitan 39, Aranjuez, 28300 Madrid, [email protected]
JÁNOS KOLLÁR
Affiliation:
Princeton University, Princeton, NJ 08544-1000, [email protected]
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Abstract

Let $X$ and $Y$ be affine nonsingular real algebraic varieties. A general problem in real algebraic geometry is to try to decide when a continuous map $f : X \rightarrow Y$ can be approximated by regular maps in the space of ${\cal C}_0$ mappings from $X$ to $Y$ , equipped with the ${\cal C}_0$ topology. This paper solves this problem when $X$ is the connected component containing the origin of the real part of a complex Abelian variety and $Y$ is the standard 2-dimensional sphere.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 1 , January 2003 , pp. 79 - 84
Copyright
© The London Mathematical Society 2003

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