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
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Sprache:eng
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Algebraic Geometry
Degeneration
Mathematics
Mathematics and Statistics
Research Article
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creator Böhning, Christian
von Bothmer, Hans-Christian Graf
van Garrel, Michel
description 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.
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subjects Algebraic Geometry
Degeneration
Mathematics
Mathematics and Statistics
Research Article
title Prelog Chow groups of self-products of degenerations of cubic threefolds
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