Real Abelian Varieties with Many Line Bundles |
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| Authors: | Joglar-Prieto, Nuria Kollar, Janos |
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| Affiliation: | I. T. en Informática de Sistemas, CES Felipe II (Universidad Complutense de Madrid) C/ Capitan 39, Aranjuez, 28300 Madrid, Spain; njoglar{at}cesfelipesegundo.com
Princeton University Princeton, NJ 08544-1000, USA; kollar{at}math.princeton.edu |
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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 decidewhen a continuous map f: X  Y can be approximated by regularmaps in the space of c0 mappings from X to Y, equipped withthe c0 topology. This paper solves this problem when X is theconnected component containing the origin of the real part ofa complex Abelian variety and Y is the standard 2-dimensionalsphere. |
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