16 citations · 41 across the 5 of their papers we have counts for
8 papers · 1 filter
Hirzebruch classes and motivic Chern classes for singular spaces
Jean-Paul Brasselet, Joerg Schuermann, Shoji Yokura
In this paper we study some new theories of characteristic homology classes for singular complex algebraic (or compactifiable analytic) spaces. We introduce a motivic Chern class t…
Hirzebruch classes and motivic Chern classes for singular (complex) algebraic varieties
Jean-Paul Brasselet, Joerg Schuermann, Shoji Yokura
In this paper we study some new theories of characteristic homology classes for singular complex algebraic varieties. First we introduce a natural transformation T_{y}: K_{0}(var/X…
Bivariant Chern classes and Grothendieck transformations
Jean-Paul Brasselet, Joerg Schuermann, Shoji Yokura
The existence of bivariant Chern classes was conjectured by W.Fulton and R.MacPherson and proved by J.P.Brasselet for cellular morphisms of analytic varieties. In this paper we sho…
A general construction of partial Grothendieck transformations
Joerg Schuermann
Fulton and MacPherson introduced the notion of bivariant theories and Grothendieck transformations related to Riemann-Roch-theorems. But there are many situations, where such a biv…
A generalized Verdier-type Riemann-Roch theorem for Chern-Schwartz-MacPherson classes
Joerg Schuermann
We give a general formula for the defect appearing in the Verdier-type Riemann-Roch formula for Chern-Schwartz-MacPherson classes in the case of a regular embedding. Our proof of t…
A short proof of a formula of Brasselet, Le and Seade for the Euler obstruction
Joerg Schuermann
Using the index theorem of Dubson, Le, Ginsburg and Sabbah for the vanishing cycle functor, we give a short proof of formula of Brasselet, Le and Seade for the Euler obstruction.