Prelog Chow groups of self-products of degenerations of cubic threefolds

Christian Böhning, Hans-Christian Graf von Bothmer, Michel van Garrel

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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 languageEnglish
Number of pages31
JournalEuropean Journal of Mathematics
Early online date29 Nov 2021
DOIs
Publication statusE-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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