Bulletin of the
Korean Mathematical Society
BKMS

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

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2017; 54(5): 1627-1654

Online first article July 4, 2017      Printed September 30, 2017

https://doi.org/10.4134/BKMS.b160683

Copyright © The Korean Mathematical Society.

Birationally rigid complete intersections of codimension two

Daniel Evans, Aleksandr Pukhlikov

The University of Liverpool, The University of Liverpool

Abstract

We prove that in the parameter space of $M$-dimensional Fano complete intersections of index one and codimension two the locus of varieties that are not birationally superrigid has codimension at least $\frac12 (M-9)(M-10)-1$.

Keywords: Fano complete intersection, maximal singularity, mobile linear system, multiplicity

MSC numbers: 14E05, 14E07