Equivariant irrationality of very general symmetric Verra fourfolds
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914614842753024 |
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| author | Fay, Aideen |
| author_facet | Fay, Aideen |
| contents | 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}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_30439 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Equivariant irrationality of very general symmetric Verra fourfolds Fay, Aideen Algebraic Geometry 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}. |
| title | Equivariant irrationality of very general symmetric Verra fourfolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2605.30439 |