Birational rigidity is not an open property
Algebraic Geometry
2007-05-23 v1
Abstract
We construct an example of the birationally rigid complete intersection of a quadric and a cubic in 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.
Cite
@article{arxiv.math/0612159,
title = {Birational rigidity is not an open property},
author = {I. A. Cheltsov and M. M. Grinenko},
journal= {arXiv preprint arXiv:math/0612159},
year = {2007}
}
Comments
26 pages