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

2019/12/11 by Böhning, Christian, von Bothmer, Hans-Christian Graf, van Garrel, Michel · 1 citation
#14C15 #14C25 #14D06 #14E08 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1912.05363

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.

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• On the diagonal of quartic hypersurfaces and (2,3)-complete intersection n-folds

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