New examples of rational Gushel-Mukai fourfolds
Michael Hoff, Giovanni Staglian\`o
TL;DR
This paper constructs new rational Gushel-Mukai fourfolds, providing additional evidence for the conjecture that such fourfolds are rational if and only if they have an associated K3 surface.
Contribution
It introduces new examples of rational Gushel-Mukai fourfolds, supporting the conjecture relating rationality to the existence of an associated K3 surface.
Findings
New rational Gushel-Mukai fourfolds constructed
Supports the analogy of the Kuznetsov Conjecture for these fourfolds
Provides evidence linking rationality to associated K3 surfaces
Abstract
We construct new examples of rational Gushel-Mukai fourfolds, giving more evidence for the analog of the Kuznetsov Conjecture for cubic fourfolds: a Gushel--Mukai fourfold is rational if and only if it admits an associated K3 surface.
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