most citedGlobal Euler obstruction and polar invariants

31 citations · 47 across the 6 of their papers we have counts for

collaborators

6 papers

math.AG20053 cited

Fibered Multilinks and singularities

Anne Pichon, José Seade

In this article we extend Milnor's fibration theorem for complex singularities to the case of singularities defined on a complex analytic singularity ge…

math.AG20052 cited

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…

math.CV2003

Milnor numbers and Euler obstruction

Jose Seade, Mihai Tibar, Alberto Verjovsky

We determine the relation between the local Euler obstruction of a holomorphic function and different generalizations of the Milnor number for functions on singular spac…

math.AG200331 cited

Global Euler obstruction and polar invariants

Jose Seade, Mihai Tibar, Alberto Verjovsky

For an affine complex algebraic singular space Y, we define a global Euler obstruction Eu(Y) which extends the Euler-Poincare characteristic of a nonsingular Y. Using Lefschetz pen…

math.AG20031 cited

Homological index for 1-forms and a Milnor number for isolated singularities

W. Ebeling, S. M. Gusein-Zade, J. Seade

We introduce a notion of a homological index of a holomorphic 1-form on a germ of a complex analytic variety with an isolated singularity, inspired by X. Gómez-Mont and G.-M. Greue…

math.AG200310 cited

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…