16 citations · 74 across the 21 of their papers we have counts for
16 papers · 1 filter
Chern-Schwartz-MacPherson classes in the point of view of Obstruction Theory and Lipschitz framework
Jean-Paul Brasselet, Tadeusz Mostowski, Thuy Nguyen Thi Bich
Since Chern and Grothendieck, Chern's characteristic class theory has made significant progress. In particular with regard to the classes of singular varieties. Conjectured by Grot…
Residues for flags of holomorphic foliations
Jean-Paul Brasselet, Maurício Corrêa, Fernando Lourenço
In this work we prove a Baum-Bott type residue theorem for flags of holomorphic foliations. We prove some relations between the residues of the flag and the residues of their corre…
Motivic and derived motivic Hirzebruch classes
Jean-Paul Brasselet, Joerg Schuermann, Shoji Yokura
In this paper we give a formula for the Hirzebruch -genus and similarly for the motivic Hirzebruch class for possibly singular varieties , using the Va…
Generic sections of essentially isolated determinantal singularities
Jean-Paul Brasselet, Nancy Chachapoyas, Maria A. S. Ruas
We study the essentially isolated determinantal singularities (EIDS), defined by W. Ebeling and S. Gusein-Zade, as a generalization of isolated singularity. We prove in dimension $…
On the Milnor classes of local complete intersections
R. Callejas-Bedregal, M. F. Z. Morgado, J. Seade
In this work we study algebraic, geometric and topological properties of the Milnor classes of local complete intersections with arbitrary singularities. We describe first the Miln…
The Nash modifications and the bi-Lipschitz equivalence
J. -P. Brasselet, A. Fernandes, N. G. Grulha +1
In this paper we investigate the relation betwen the Nash modification and the Bi-Lipschtiz equivalent germs in the cases of two germs and for a family of hypersurfaces with isolat…
A proof of the Proportionality Theorem
J. -P. Brasselet, J. Seade, T. Suwa
The purpose of this note is to give a direct and self-contained proof of the Proportionality Theorem of Brasselet-Schwartz. This theorem relates the Schwartz indices of frames obta…
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…
Interpolation of characteristic classes of singular hypersurfaces
Paolo Aluffi, Jean-Paul Brasselet
We show that the Chern-Schwartz-MacPherson class of a hypersurface X in a nonsingular variety M `interpolates' between two other notions of characteristic classes for singular vari…
Combinatorial Intersection Cohomology for Fans
Gottfried Barthel, Jean-Paul Brasselet, Karl-Heinz Fieseler +1
We continue the approach toward a purely combinatorial "virtual" intersection cohomology for possibly non-rational fans, based on our investigation of equivariant intersection coho…
Equivariant Intersection Cohomology of Toric Varieties
Gottfried Barthel, Jean-Paul Brasselet, Karl-Heinz Fieseler +1
We investigate the equivariant intersection cohomology of a toric variety. Considering the defining fan of the variety as a finite topological space with the subfans being the open…