Publikationen (FIS)
The diagonal of quartic fivefolds
- authored by
- Nebojsa Pavic, Stefan Schreieder
- Abstract
We show that a very general quartic hypersurface in over a field of characteristic different from 2 does not admit a decomposition of the diagonal, hence is not retract rational. This generalizes a result of Nicaise–Ottem, who showed stable irrationality over fields of characteristic zero. To prove our result, we introduce a new cycle-theoretic obstruction that may be seen as an analogue of the motivic obstruction for rationality in characteristic zero, introduced by Nicaise–Shinder and Kontsevich–Tschinkel.
- Organisation(s)
-
Institute of Algebraic Geometry
- Type
- Article
- Journal
- Algebraic Geometry
- Volume
- 10
- Pages
- 754-778
- No. of pages
- 25
- ISSN
- 2313-1691
- Publication date
- 2023
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Algebra and Number Theory, Geometry and Topology
- Electronic version(s)
-
https://arxiv.org/abs/2106.04539 (Access:
Open)
https://doi.org/10.14231/AG-2023-027 (Access: Open)
https://doi.org/10.48550/arXiv.2106.04539 (Access: Open)
https://doi.org/10.15488/17555 (Access: Open)