It is unknown whether smooth cubic threefolds have an (integral Chow-theoretic) decomposition of the diagonal, or whether they are stably rational or not in general. As a first step towards making progress on these questions, we compute the (saturated numerical) prelog Chow group of the self-product of a certain degeneration of cubic threefolds.
|Number of pages||31|
|Journal||European Journal of Mathematics|
|Early online date||29 Nov 2021|
|Publication status||E-pub ahead of print - 29 Nov 2021|
Bibliographical noteFunding Information:
This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 746554 and has been supported by Dr. Max Rössler, the Walter Haefner Foundation and the ETH Zürich Foundation.
© 2021, The Author(s).
- Cubic threefolds
- Prelog Chow groups
- Prelog Chow rings
- Semistable degenerations
- Stable rationality
ASJC Scopus subject areas