Global Euler obstruction, global Brasselet numbers and critical points

Autor(es)

Dutertre, Nicolas ; Grulha, Nivaldo G., Jr.

• Tipo de documento: Artigo Científico
• Fonte: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS; v. 150, n. 5, p. 32-pg., 2020-10-01.

Resumo

LetX subset of DOUBLE-STRUCK CAPITAL C(n)be an equidimensional complex algebraic set and letf:X -> DOUBLE-STRUCK CAPITAL C be a polynomial function. For eachc is an element of DOUBLE-STRUCK CAPITAL C, we define the global Brasselet number offatc, a global counterpart of the Brasselet number defined by the authors in a previous work, and the Brasselet number at infinity offatc. Then we establish several formulas relating these numbers to the topology ofXand the critical points off. (AU)

• Processo FAPESP: 17/09620-2 - Topologia e geometria de espaços singulares e aplicações
• Beneficiário: Nivaldo de Góes Grulha Júnior
• Modalidade de apoio: Auxílio à Pesquisa - Regular