#### Vol. 14, No. 1, 2020

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Birationally superrigid Fano 3-folds of codimension 4

Vol. 14 (2020), No. 1, 191–212
DOI: 10.2140/ant.2020.14.191
##### Abstract

We determine birational superrigidity for a quasismooth prime Fano $3$-fold of codimension $4$ with no projection centers. In particular we prove birational superrigidity for Fano $3$-folds of codimension $4$ with no projection centers which were recently constructed by Coughlan and Ducat. We also pose some questions and a conjecture regarding the classification of birationally superrigid Fano $3$-folds.

##### Keywords
Fano variety, Birational rigidity
##### Mathematical Subject Classification 2010
Primary: 14J45
Secondary: 14E07, 14E08
##### Milestones
Revised: 8 June 2019
Accepted: 26 August 2019
Published: 15 March 2020
##### Authors
 Takuzo Okada Department of Mathematics Saga University Saga Japan