Year: 2025
Type: article
Abstract: We show that a very general (3,3) complete intersection in ℙ 7 over an uncountable algebraically closed field of characteristic different from 2 admits no decomposition of the diagonal, in particular it is not retract rational. This strengthens Nicaise and Ottem’s result proving stable irrationality of this complete intersection in characteristic 0. The main tool is a Chow-theoretic obstruction which was found by Pavic and Schreieder, who studied quartic fivefolds.
Source: Annales de l’institut Fourier
DOI: 10.5802/aif.3735
Authors: Jan Lange, Bjørn Skauli
Institutions: Leibniz University Hannover, University of Oslo
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: European Commission
Awards: G434337789, G5089335471
OpenAlex ID: W4414392222