16 citations · 41 across the 6 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…
Proportionality of Indices of 1-Forms on Singular Varieties
J. -P. Brasselet, J. Seade, T. Suwa
This article is about 1-forms on complex analytic varieties and it is particularly relevant when the variety has non-isolated singularities. We first show how the radial extension…
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…
Combinatorial Duality and Intersection Product: A Direct Approach
Gottfried Barthel, Jean-Paul Brasselet, Karl-Heinz Fieseler +1
The proof of the combinatorial Hard Lefschetz Theorem for the ``virtual'' intersection cohomology of a not necessarily rational polytopal fan that has been presented by K. Karu com…
Euler Obstruction and Defects of Functions on Singular Varieties
J. -P. Brasselet, D. Massey, A. J. Parameswaran +1
Several authors have proved Lefschetz type formulae for the local Euler obstruction. In particular, a result of this type is proved in [BLS].The formula proved in that paper turns…