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Approximately Rationally or Elliptically Connected Varieties

Published online by Cambridge University Press:  17 December 2013

Claire Voisin
Claire Voisin*
Affiliation:
Institut de Mathématiques de Jussieu, TGA Case 247, 4 Place Jussieu, 75005 Paris, France (voisin@math.jussieu.fr)
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Abstract

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We discuss a possible approach to the study of the vanishing of the Kobayashi pseudo-metric of a projective variety X, using chains of rational or elliptic curves contained in an arbitrarily small neighbourhood of X in projective space for the Euclidean topology.

Keywords

rational curvesrational connectednessKobayashi hyperbolicityPrimary 32Q4514M22
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 57 , Issue 1 , February 2014 , pp. 281 - 297
Copyright
Copyright © Edinburgh Mathematical Society 2014 

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