On cylindrical smooth rational Fano fourfolds

Hang Thi Anh Nguyen, Michael Hoff, Truong Le Hoang

We construct new families of smooth Fano fourfolds with Picard rank $1$ which contain open ${\mathbb{A}}^1$-cylinders, that is, Zariski open subsets of the form $Z\times {\mathbb{A}}^1$, wher…