Details
| Originalsprache | Englisch |
|---|---|
| Publikationsstatus | Elektronisch veröffentlicht (E-Pub) - 1 März 2023 |
Abstract
Zitieren
- Standard
- Harvard
- Apa
- Vancouver
- BibTex
- RIS
2023.
Publikation: Arbeitspapier/Preprint › Preprint
}
TY - UNPB
T1 - The diagonal of (3,3) fivefolds
AU - Lange, Jan
AU - Skauli, Bjørn
N1 - 19 pages, comments welcome
PY - 2023/3/1
Y1 - 2023/3/1
N2 - We show that the 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.
AB - We show that the 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.
KW - math.AG
KW - 14M10, 14C25 (Primary) 14E08 (Secondary)
M3 - Preprint
BT - The diagonal of (3,3) fivefolds
ER -