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arXiv:math/0612159 [math.AG]AbstractReferencesReviewsResources

Birational rigidity is not an open property

I. A. Cheltsov, M. M. Grinenko

Published 2006-12-06Version 1

We construct an example of the birationally rigid complete intersection of a quadric and a cubic in $\PA^5$ with an ordinary double point, which under a small deformation gives a non-rigid Fano variety. Thus we show that birational rigidity is not open in moduli.

Comments: 26 pages
Categories: math.AG
Subjects: 14E05, 14E07
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