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arxiv: 2605.30439 · v1 · pith:44RYHUC5new · submitted 2026-05-28 · 🧮 math.AG

Equivariant irrationality of very general symmetric Verra fourfolds

classification 🧮 math.AG
keywords citepequivariantgeneralsymmetricverraveryatomsbirational
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We prove that a very general complex symmetric Verra fourfold is not \(\ZZ/2\)-birational to \(\PP^4\), using the \emph{theory of atoms} introduced by Katzarkov--Kontsevich--Pantev--Yu~\citep{Katzarkov2025BirationalIF} in the equivariant setting as in Cavenaghi--Katzarkov--Kontsevich~\citep{cavenaghi2026atomsmeetsymbols}.

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