The present volume is a translation, revision and updating of our book (pub lished in French)
with the title" Geometrie Algebrique Reelle". Since its pub lication in 1987 the theory has …

Constructible and perverse sheaves are the algebraic counterpart of the decomposition of a
singular space into smooth manifolds, a great geometrical idea due to R. Thom and H …

From the very beginning, algebraic topology has developed under the influence of the
problems posed by trying to understand the topological properties of complex algebraic …

The theory of complex analytic sets is part of the modern geometrical theory of functions of
several complex variables. A wide circle of problems in multidimensional complex analysis …

Assuming that the reader is familiar with sheaf theory, the book gives a self-contained
introduction to the theory of constructible sheaves related to many kinds of singular spaces …

Summary Let F: ℂ n+ 1→ ℂ be a polynomial. The problem of determining the homology
groups H q (F− 1 (c)), c∈ ℂ, in terms of the critical points of F is considered. In the “best …

Dans ce travail, nous commencons l'etude systematique des varietes polaires locales
attachees a un germe d'espace analytique complexe (que l'on peut decrire informellement …

This book has been awarded the Ferran Sunyer i Balaguer 2005 prize. The aim of this book
is to give an overview of selected topics on the topology of real and complex isolated …

In this paper we give a formula to calculate the Euler obstruction of a complex analytic
singularity in the spirit of the Lefschetz Theorem on hyperplane sections. Namely, we show …

Milnor's fibration theorem is about the geometry and topology of real and complex analytic
maps near their critical points, a ubiquitous theme in mathematics. As such, after 50 years …