The diagonal of (3,3) fivefolds
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917600063127552 |
|---|---|
| author | Lange, Jan Skauli, Bjørn |
| author_facet | Lange, Jan Skauli, Bjørn |
| contents | We show that a very general (3,3) complete intersection in $\mathbb{P}^7$ over an algebraically closed uncountable field of characteristic different from 2 admits no decomposition of the diagonal, in particular it is not retract rational. This strengthens Nicaise--Ottem's result, where stable irrationality in characteristic 0 was shown. The main tool is a Chow-theoretic obstruction which was found by Pavic--Schreieder, where quartic fivefolds are studied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_00562 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The diagonal of (3,3) fivefolds Lange, Jan Skauli, Bjørn Algebraic Geometry 14M10, 14C25 (Primary) 14E08 (Secondary) We show that a very general (3,3) complete intersection in $\mathbb{P}^7$ over an algebraically closed uncountable field of characteristic different from 2 admits no decomposition of the diagonal, in particular it is not retract rational. This strengthens Nicaise--Ottem's result, where stable irrationality in characteristic 0 was shown. The main tool is a Chow-theoretic obstruction which was found by Pavic--Schreieder, where quartic fivefolds are studied. |
| title | The diagonal of (3,3) fivefolds |
| topic | Algebraic Geometry 14M10, 14C25 (Primary) 14E08 (Secondary) |
| url | https://arxiv.org/abs/2303.00562 |