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Regular version of the site

Book chapter

New examples of cylindrical Fano fourfolds

P. 443-463.
Prokhorov Y., Zaidenberg M.

We produce new families of smooth Fano fourfolds with Picard rank 1, which contain cylinders, i.e., Zariski open subsets of form Z × A 1 , where Z is a quasiprojective variety. The affine cones over such a fourfold admit effective G a -actions. Similar constructions of cylindrical Fano threefolds and fourfolds were done previously in [KPZ11, KPZ14, PZ16].

In book

Vol. 75: Algebraic Varieties and Automorphism Groups. Tokyo: The Mathematical Society of Japan, 2017.