Birationally superrigid Fano 3-folds of codimension 4

Okada, Takuzo

doi:10.2140/ant.2020.14.191

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Birationally superrigid Fano 3-folds of codimension 4

Takuzo Okada

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

Received: 31 January 2019

Revised: 8 June 2019

Accepted: 26 August 2019

Published: 15 March 2020

Authors

Takuzo Okada
Department of Mathematics Saga University Saga Japan

Vol. 14, No. 1, 2020