Examples of cylindrical Fano fourfolds
Algebraic Geometry
2014-06-25 v1
Abstract
We construct 4 di erent families of smooth Fano fourfolds with Picard rank 1, which contain cylinders, i.e., Zariski open subsets of the form Z x A1, where Z is a quasiprojective variety. The affi ne cones over such a fourfold admit eff ective Ga-actions. Similar constructions of cylindrical Fano threefolds were done previously in our papers jointly with Takashi Kishimoto.
Keywords
Cite
@article{arxiv.1406.6339,
title = {Examples of cylindrical Fano fourfolds},
author = {Yuri Prokhorov and Mikhail Zaidenberg},
journal= {arXiv preprint arXiv:1406.6339},
year = {2014}
}
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