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Título del libro: Vector Fields On Singular Varieties
Título del capítulo: The Schwartz Classes

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

As mentioned before, the first generalization of Chern classes to singular varieties is due to M.-H. Schwartz, using obstruction theory and radial frames. These classes are the primary obstructions to constructing a special type of stratified frames on V that she called radial frames. To avoid possible misunderstandings, here we prefer to call them frames constructed by radial extension, as in the case of vector fields. We refer to [28, 33] for details of the construction and we content ourselves with summarizing here their main properties. It was shown in [33] that these classes correspond, by Alexander isomorphism, to the MacPherson classes, that we discuss briefly in the last section of this chapter. In this chapter we provide a viewpoint for studying Schwartz-MacPherson classes which is particularly close to the theory of indices of vector fields that we develop in this book, both from the topological and the differential geometric sides. In the first three sections, we discuss the

Entidades citadas de la UNAM:
Fuente:



ISBN:
9783642052040
Editorial:
SPRINGER-VERLAG BERLIN

Tipo de producto:
Article



DOI:
10.1007/978-3-642-05205-7_10