Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2017; 54(5): 1485-1526

Online first article September 12, 2017      Printed September 30, 2017

https://doi.org/10.4134/BKMS.b160677

Copyright © The Korean Mathematical Society.

Birational rigidity is not an open property

Ivan Cheltsov, Mikhail Grinenko

University of Edinburgh, Steklov Institute of Mathematics

Abstract

We show that birational rigidity of Mori fibre spaces is not open in moduli.

Keywords: Fano variety, birational rigidity, complete intersection

MSC numbers: 14J45, 14E05, 14E07, 14E08