An infinitesimal Noether-Lefschetz theorem for Chow groups

DOI10.1016/j.jpaa.2016.10.019zbMath1401.14033OpenAlexW2539301824MaRDI QIDQ1684743

Deepam Patel, Girivaru V. Ravindra

Publication date: 12 December 2017

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2016.10.019

Mathematics Subject Classification ID

Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Cites Work

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• Towards connectivity for codimension 2 cycles: infinitesimal deformations
• Relative algebraic K-theory and cyclic homology
• Griffiths' infinitesimal invariant and the Abel-Jacobi map
• Cyclic homology, derivations, and the free loopspace
• Continuous étale cohomology
• Étale descent for Hochschild and cyclic homology
• The formal Hodge filtration
• Cohomological and cycle-theoretic connectivity
• Weak Lefschetz for Chow groups: infinitesimal lifting
• Algebraic cycles and Hodge theoretic connectivity
• Infinitesimal cohomology and the Chern character to negative cyclic homology
• Séminaire de géométrie algébrique du Bois-Marie 1967--1969. Groupes de monodromie en géométrie algébrique (SGA 7 II) par P. Deligne et N. Katz. Exposés X à XXII
• The Noether-Lefschetz theorem for the divisor class group
• Effective bounds for Hodge-theoretic connectivity

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