We determine birational superrigidity for a quasismooth prime Fano -fold of codimension with no projection centers. In particular we prove birational superrigidity for Fano -folds of codimension 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 -folds.
"Birationally superrigid Fano 3-folds of codimension 4." Algebra Number Theory 14 (1) 191 - 212, 2020. https://doi.org/10.2140/ant.2020.14.191