Equivariant irrationality of very general symmetric Verra fourfolds
Abstract
We prove that a very general complex symmetric Verra fourfold is not \(/2\)-birational to \(4\), using the theory of atoms introduced by Katzarkov--Kontsevich--Pantev--Yu~Katzarkov2025BirationalIF in the equivariant setting as in Cavenaghi--Katzarkov--Kontsevich~cavenaghi2026atomsmeetsymbols.
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