New examples of cylindrical Fano fourfolds
Algebraic Geometry
2015-07-08 v1
Abstract
We construct new families of smooth Fano fourfolds with Picard rank 1, which contain cylinders, i.e., Zariski open subsets of form , where is a quasiprojective variety. The affine cones over such a fourfold admit effective -actions. Similar constructions of cylindrical Fano threefolds and fourfolds were done previously in [KPZ11, KPZ14, PZ15].
Keywords
Cite
@article{arxiv.1507.01748,
title = {New examples of cylindrical Fano fourfolds},
author = {Yuri Prokhorov and Mikhail Zaidenberg},
journal= {arXiv preprint arXiv:1507.01748},
year = {2015}
}
Comments
18 pages, latex