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Introduction to toric varieties

- J. Brasselet
- Mathematics
- 2004

The course given during the School and Workshop “The Geometry and Topology of Singularities”, 8-26 January 2007, Cuernavaca, Mexico is based on a previous course given during the 23o Coloquio… Expand

HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES

- J. Brasselet, Joerg Schuermann, Shoji Yokura
- Mathematics
- 23 March 2005

In this paper we study some new theories of characteristic homology classes of singular complex algebraic (or compactifiable analytic) spaces. We introduce a motivic Chern class transformationmCy:… Expand

Euler Obstruction and Defects of Functions on Singular Varieties

- J. Brasselet, D. Massey, A. J. Parameswaran, J. Seade
- Mathematics
- 19 February 2003

Several authors have proved Lefschetz type formulas for the local Euler obstruction. In particular, a result of this type has been proved that turns out to be equivalent to saying that the local… Expand

Combinatorial intersection cohomology for fans

- G. Barthel, J. Brasselet, K. Fieseler, Ludger Kaup Konstanz, Iml Marseille-Luminy, Uppsala
- Mathematics
- 22 February 2000

Intersection cohomology IH•(X∆;R) of a complete toric variety X∆, associated to a fan ∆ in R and with the action of an algebraic torus T ∼= (C), is best computed using equivariant intersection… Expand

Vector fields on Singular Varieties

- J. Brasselet
- Mathematics
- 17 December 2009

The Case of Manifolds.- The Schwartz Index.- The GSV Index.- Indices of Vector Fields on Real Analytic Varieties.- The Virtual Index.- The Case of Holomorphic Vector Fields.- The Homological Index… Expand

Deformations of maps on complete intersections, Damon's KV-equivalence and bifurcations

- J. Montaldi, J. Brasselet
- Mathematics
- 1994

A recent result of J. Damon?s [4] relates the Ae-versal unfoldings of a map-germf with the KD(G)-versal unfoldings of an associated map germ which induces ffrom a stable map G. We extend this result… Expand

The Virtual Classes

- J. Brasselet, J. Seade, T. Suwa
- Mathematics
- 2009

The constructions described in the previous chapter, mostly based on [31, 33, 139], provide geometric insights of the Schwartz–MacPherson classes via obstruction theory and localization. These… Expand

Equivariant Intersection Cohomology of Toric Varieties

- G. Barthel, J. Brasselet, K. Fieseler, L. Kaup
- Mathematics
- 28 April 1999

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 sets (that… Expand

Euler obstruction and indices of vector fields

- J. Brasselet, L. Tráng, J. Seade
- Mathematics
- 1 November 2000

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