Abstract
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.
| Original language | English |
|---|---|
| Number of pages | 31 |
| Journal | European Journal of Mathematics |
| Early online date | 29 Nov 2021 |
| DOIs | |
| Publication status | E-pub ahead of print - 29 Nov 2021 |
Bibliographical note
Funding 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.
Publisher Copyright:
© 2021, The Author(s).
Keywords
- Cubic threefolds
- Prelog Chow groups
- Prelog Chow rings
- Semistable degenerations
- Stable rationality
ASJC Scopus subject areas
- General Mathematics
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