On finite dimensionality of Chow groups

DOI10.1007/s13366-021-00575-2zbMath1497.14007arXiv1806.02069OpenAlexW3137868394MaRDI QIDQ2118362

Kalyan Banerjee

Publication date: 22 March 2022

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.02069

zbMATH Keywords

Chow groupsChow varietiesfinite dimensionality

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Algebraic cycles (14C25)

Cites Work

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• Non-trivial elements in the Abel-Jacobi kernels of higher-dimensional varieties
• Rational equivalence of zero cycles for some more surfaces with \(p_ g=0\)
• Rational equivalence of 0-cycles on some surfaces of general type with \(p_g=0\)
• Cohomological and cycle-theoretic connectivity
• The torsion of the group of 0-cycles modulo rational equivalence
• Bloch's conjecture for Catanese and Barlow surfaces
• Rational equivalence of O-cycles on surfaces
• Some surfaces of general type for which Bloch's conjecture holds
• Étale monodromy and rational equivalence for -cycles on cubic hypersurfaces in
• RATIONAL EQUIVALENCE OF ZERO-CYCLES
• On relations among 1-cycles on cubic hypersurfaces

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