Introdução à Obstrução de Euler Local: dos sólidos platônicos às variedades determinantais

Raphael de Omena Marinho

doi:10.14244/lajm.v4i1.37

Autores/as

Raphael de Omena Marinho UFC

DOI:

https://doi.org/10.14244/lajm.v4i1.37

Palabras clave:

teoria de obstrução, variedade singular, campo de vetor, índice

Resumen

A obstrução local de Euler foi inicialmente definida por MacPherson para responder à conjectura de Deligne e Grothendieck sobre a existência e unicidade das classes de Chern para variedades algébricas singulares. No contexto de índices de campos vetoriais, Brasselet e Schwartz caracterizaram esse invariante, abordagem que seguiremos neste texto. Com base nessa definição, também apresentamos a obstrução de Euler de uma função e a obstrução de Euler de uma aplicação.

Citas

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