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Título del libro: Vector Fields On Singular Varieties
Título del capítulo: The Local Euler Obstruction

Autores UNAM:
JOSE ANTONIO SEADE KURI;
Autores externos:
Idioma:
Inglés
Año de publicación:
2009
Resumen:

The local Euler obstruction was first introduced by R. MacPherson in [117] as an ingredient for the construction of characteristic classes of singular complex algebraic varieties. An equivalent definition was given by J.-P. Brasselet and M.-H. Schwartz in [33] using vector fields. Their viewpoint brings the local Euler obstruction into the framework of "indices of vector fields on singular varieties," though the definition only considers radial vector fields. This approach is most convenient for our study which is based on [29, 32] and shows relations with other indices. There are various other definitions and interpretations, in particular due to Gonzalez-Sprinberg [72], Verdier, Le-Teissier and others. The survey [27] provides an overview on the subject. Section 1 below is devoted to the definition of the local Euler obstruction and some of its main properties. The behavior of the local Euler obstruction relatively to hyperplane sections is described in Sect. 2, following [29]. In Se

Entidades citadas de la UNAM:
Fuente:



ISBN:
9783642052040
Editorial:
SPRINGER-VERLAG BERLIN

Tipo de producto:
Article



DOI:
10.1007/978-3-642-05205-7_8