On the irrationality of cubic fourfolds
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908866864742400 |
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| author | Guéré, Jérémy |
| author_facet | Guéré, Jérémy |
| contents | Following the work of Katzarkov--Kontsevich--Pantev--Yu concerning the irrationality of the very general complex cubic fourfold, we prove the following: for every rational smooth complex cubic fourfold, the primitive cohomology is isomorphic as a Hodge structure to the (twisted) middle cohomology of a projective K3 surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04518 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the irrationality of cubic fourfolds Guéré, Jérémy Algebraic Geometry 14E08, 14N35 Following the work of Katzarkov--Kontsevich--Pantev--Yu concerning the irrationality of the very general complex cubic fourfold, we prove the following: for every rational smooth complex cubic fourfold, the primitive cohomology is isomorphic as a Hodge structure to the (twisted) middle cohomology of a projective K3 surface. |
| title | On the irrationality of cubic fourfolds |
| topic | Algebraic Geometry 14E08, 14N35 |
| url | https://arxiv.org/abs/2603.04518 |