Equivariant unirationality of Fano threefolds
Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang
TL;DR
This paper investigates how finite groups act on Fano threefolds and explores conditions under which these varieties are unirational, contributing to understanding their geometric properties.
Contribution
It introduces new criteria for the equivariant unirationality of Fano threefolds under finite group actions.
Findings
Identifies classes of Fano threefolds with equivariant unirationality
Provides examples of group actions leading to unirationality
Establishes connections between group actions and geometric properties
Abstract
We study unirationality of actions of finite groups on Fano threefolds.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometry and complex manifolds · Homotopy and Cohomology in Algebraic Topology