A generalized Grothendieck-Riemann-Roch theorem for Hirzebruch's \(\chi_ y\)-characteristic and \(T_ y\)-characteristic

DOI10.2977/prims/1195165791zbMath0836.14006OpenAlexW2049887719MaRDI QIDQ1346670

Shoji Yokura

Publication date: 10 April 1995

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/1195165791

zbMATH Keywords

Euler-Poincaré characteristiccharacteristic homology classes of singular varietiesHirzebruch-Riemann-Roch

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Riemann-Roch theorems (14C40) Characteristic classes and numbers in differential topology (57R20) Topological properties in algebraic geometry (14F45)

Related Items

Hirzebruch–Milnor Classes and Steenbrink Spectra of Certain Projective Hypersurfaces, Spectral Hirzebruch-Milnor classes of singular hypersurfaces, Hirzebruch-Milnor classes of complete intersections, Topics of motivic characteristic classes, HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES, Equivariant Hirzebruch class for singular varieties, Hirzebruch classes and motivic Chern classes.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Intersection homology theory
• Chern classes for singular algebraic varieties
• Riemann-Roch for singular varieties
• An extension of Baum-Fulton-MacPherson's Riemann-Roch theorem for singular varieties
• Le théorème de Riemann-Roch