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

DOI10.1007/s40879-021-00510-8zbMath1495.14023arXiv1912.05363OpenAlexW3203898107MaRDI QIDQ2115337

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

Publication date: 15 March 2022

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.05363

zbMATH Keywords

stable rationalitycubic threefoldssemistable degenerationsprelog Chow groupsprelog Chow rings

Mathematics Subject Classification ID

Computational aspects of higher-dimensional varieties (14Q15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Fibrations, degenerations in algebraic geometry (14D06) (Equivariant) Chow groups and rings; motives (14C15) Rationality questions in algebraic geometry (14E08)

Uses Software

• Macaulay2
• Book3264Examples

Cites Work

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• Hypersurfaces that are not stably rational
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• CHOW GROUPS, CHOW COHOMOLOGY, AND LINEAR VARIETIES
• The ring of algebraic correspondences on a generic curve of genus g
• Abel-Jacobi map, integral Hodge classes and decomposition of the diagonal
• Stably irrational hypersurfaces of small slopes

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