On the rationality problem for low degree hypersurfaces
We show that a very general hypersurface of degree $d \geq 4$ and dimension $N \leq (d+1)2^{d-4}$ over a field of characteristic $\neq 2$ does not admit a decomposition of the diagonal; hence, it is neither stably nor retract rational, nor $\mathbb {A}^1$ -connected. Simil...
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| Autori principali: | , |
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| Natura: | Artigo |
| Lingua: | Inglês |
| Pubblicazione: |
Cambridge University Press
2025-01-01
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| Serie: | Forum of Mathematics, Pi |
| Soggetti: | |
| Accesso online: | https://www.cambridge.org/core/product/identifier/S2050508625100164/type/journal_article |
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