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arXiv · 2605.30439

Equivariant irrationality of very general symmetric Verra fourfolds

Aideen Fay
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Abstract

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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Aideen Fay. 2026-05-28. Equivariant irrationality of very general symmetric Verra fourfolds. https://arxiv.org/abs/2605.30439

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