Unirationality of hypersurfaces via highly tangent lines
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914147783933952 |
|---|---|
| author | Cheng, Raymond |
| author_facet | Cheng, Raymond |
| contents | This article describes a unirationality construction for general low degree complete intersections in projective space which is based on a variety of highly tangent lines. Applied to hypersurfaces, this implies that a general hypersurface of degree $d \geq 6$ in projective $n$-space is unirational as soon as $n \geq 2^{(d-1)2^{d-5}}$, significantly improving classical bounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_07545 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unirationality of hypersurfaces via highly tangent lines Cheng, Raymond Algebraic Geometry 14M20 (primary) 14J70, 14M10 (secondary) This article describes a unirationality construction for general low degree complete intersections in projective space which is based on a variety of highly tangent lines. Applied to hypersurfaces, this implies that a general hypersurface of degree $d \geq 6$ in projective $n$-space is unirational as soon as $n \geq 2^{(d-1)2^{d-5}}$, significantly improving classical bounds. |
| title | Unirationality of hypersurfaces via highly tangent lines |
| topic | Algebraic Geometry 14M20 (primary) 14J70, 14M10 (secondary) |
| url | https://arxiv.org/abs/2511.07545 |