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This article is cited in 1 scientific paper (total in 1 paper)
On Gauss–Bonnet and Poincaré–Hopf type theorems for complex $\partial$-manifolds
Maurício Corrêaa, Fernando Lourençob, Diogo Machadoc, Antonio M. Ferreirab a Icex – UFMG, Av. Antônio Carlos 6627, 30123-970, Belo Horizonte-MG, Brazil
b DEX – UFLA, Campus Universitário, Lavras MG, Brazil, CEP 37200-000
c DMA – UFV, Avenida Peter Henry Rolfs, s/n – Campus Universitário, 36570-900 Vi cosa-MG, Brazil
Abstract:
We prove a Gauss–Bonnet and Poincaré–Hopf type theorem for complex $\partial$-manifold $\widetilde{X} = X - D$, where $X$ is a complex compact manifold and $D$ is a reduced divisor. We will consider the cases such that $D$ has isolated singularities and also if $D$ has a (not necessarily irreducible) decomposition $D=D_1\cup D_2$ such that $D_1$, $D_2$ have isolated singularities and $C=D_1\cap D_2$ is a codimension $2$ variety with isolated singularities.
Key words and phrases:
logarithmic foliations, Gauss–Bonnet type theorem, Poincaré–Hopf index, residues.
Citation:
Maurício Corrêa, Fernando Lourenço, Diogo Machado, Antonio M. Ferreira, “On Gauss–Bonnet and Poincaré–Hopf type theorems for complex $\partial$-manifolds”, Mosc. Math. J., 21:3 (2021), 493–506
Linking options:
https://www.mathnet.ru/eng/mmj803 https://www.mathnet.ru/eng/mmj/v21/i3/p493
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Abstract page: | 41 | References: | 13 |
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