Details
| Original language | English |
|---|---|
| Publication status | E-pub ahead of print - 1 Mar 2023 |
Abstract
Keywords
- math.AG, 14M10, 14C25 (Primary) 14E08 (Secondary)
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2023.
Research output: Working paper/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 -