Vol. 14, No. 1, 2020

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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