\(K\)-theory, local cohomology and tangent spaces to Hilbert schemes

DOI10.2140/AKT.2018.3.709zbMath1422.14020arXiv1604.02629OpenAlexW2340588868WikidataQ128708215 ScholiaQ128708215MaRDI QIDQ1756160

Sen Yang

Publication date: 14 January 2019

Published in: Annals of \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02629

zbMATH Keywords

\(K\)-theoryKoszul complexChern characterabsolute differentialsdeformation of cyclesNewton classtangent spaces to cycle groupstangent spaces to Hilbert schemes

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Algebraic cycles (14C25) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) (K)-theory in geometry (19E99)

Related Items (1)

Chern character and obstructions to deforming cycles

Cites Work

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• Tangents to Chow groups: on a question of Green-Griffiths
• Intersection theory using Adams operations
• Infinitesimal cohomology and the Chern character to negative cyclic homology
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157)
• Supports and filtrations in algebraic geometry and modular representation theory
• Idempotent completion of triangulated categories

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