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Elliptic ruled surfaces on Calabi–Yau threefolds

Published online by Cambridge University Press:  24 October 2008

P. M. H. Wilson
P. M. H. Wilson
Affiliation:
Department of Pure Mathematics, University of Cambridge, 16 Mill Lane, Cambridge CB2 1SB
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Extract

In [5], we studied the behaviour of the Kähler cone of Calabi–Yau threefolds under deformations. We saw that the Kähler cone is locally constant in a smooth family of Calabi–Yau threefolds, unless some of the threefolds Xb contain elliptic ruled surfaces. Moreover, if X is a Calabi–Yau threefold containing an elliptic ruled surface, then the Kähler cone is not invariant under a generic small deformation.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 1 , July 1992 , pp. 45 - 52
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

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