Birational rigidity is not an open property

Details Birational rigidity is not an open property Birational rigidity is not an open property

2006-12-06

arxiv.org/abs/math/0612159v1

Mathematics

Algebraic Geometry

26 pages

Scientific paper

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.

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