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

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

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...

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Veröffentlicht in:European journal of mathematics 2022-03, Vol.8 (1), p.260-290
Hauptverfasser: Böhning, Christian, von Bothmer, Hans-Christian Graf, van Garrel, Michel
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Degeneration
Mathematics
Mathematics and Statistics
Research Article
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Zusammenfassung: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.
ISSN:2199-675X
2199-6768
DOI:10.1007/s40879-021-00510-8