Hirzebruch classes and motivic Chern classes.

DOI10.1016/j.crma.2005.12.022zbMath1089.14003OpenAlexW1993202489MaRDI QIDQ817915

Jörg Schürmann, Shoji Yokura, Jean-Paul Brasselet

Publication date: 20 March 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.12.022

Mathematics Subject Classification ID

Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15) Birational geometry (14E99)

Related Items (10)

Characteristic Classes ⋮ Characteristic classes of proalgebraic varieties and motivic measures ⋮ Verdier specialization via weak factorization ⋮ Motivic bivariant characteristic classes ⋮ Topics of motivic characteristic classes ⋮ HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES ⋮ ``Counting spaces and related topics ⋮ Homological congruence formulae for characteristic classes of singular varieties ⋮ On Grothendieck transformations in Fulton-MacPherson's bivariant theory ⋮ ORIENTED BIVARIANT THEORIES, I

Cites Work

• Chern classes for singular algebraic varieties
• Riemann-Roch for singular varieties
• A generalized Grothendieck-Riemann-Roch theorem for Hirzebruch's \(\chi_ y\)-characteristic and \(T_ y\)-characteristic
• HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES
• Complexe de de Rham filtré d'une variété singulière
• Stratifiable Maps and Topological Invariants
• On Cappell-Shaneson's Homology L-Classes of Singular Algebraic Varieties
• The universal Euler characteristic for varieties of characteristic zero
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