An extension of Deligne-Grothendieck-MacPherson's theory \(C_ *\) of Chern classes for singular algebraic varieties

DOI10.2977/prims/1195169270zbMath0769.57016OpenAlexW1990197960MaRDI QIDQ1187163

Shoji Yokura

Publication date: 28 June 1992

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195169270

zbMATH Keywords

compact complex algebraic varietiesgroup of constructible functionsPoincaré dual of the total Chern classtwisted push-forward for the local Euler obstruction

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Characteristic classes and numbers in differential topology (57R20) Categories in geometry and topology (18F99) (Co)homology theory in algebraic geometry (14F99)

Related Items (7)

On a naturality of Chern-Mather classes ⋮ On a generalization of MacPherson's Chern homology class. III ⋮ On the universality of Baum-Fulton-MacPherson's Riemann-Roch for singular varieties ⋮ Bivariant theories of constructible functions and Grothendieck transformations ⋮ Product formula for twisted MacPherson classes ⋮ On a generalization of MacPherson's Chern homology class ⋮ An extension of Baum-Fulton-MacPherson's Riemann-Roch theorem for singular varieties

Cites Work

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• On a generalization of MacPherson's Chern homology class
• Variétés polaires locales et classes de Chern des variétés singulieres
• Chern classes for singular algebraic varieties
• Riemann-Roch for singular varieties
• Characteristic Classes. (AM-76)
• Index theorem for a maximally overdetermined system of linear differential equations
• Some variants of Deligne-Grothendieck-MacPherson's natural transformation C* of Chern class.

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