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http://repositorio.ufla.br/jspui/handle/1/48981| Title: | On Gauss-Bonnet and Poincaré-Hopf type theorems for complex ∂-manifolds |
| Keywords: | Logarithmic foliations Gauss-Bonnet type Theorem Poincaré-Hopf index Residues |
| Issue Date: | 2021 |
| Publisher: | Cornell University |
| Citation: | CORRÊA, M. et al. On Gauss-Bonnet and Poincaré-Hopf type theorems for complex ∂-manifolds. Moscow Mathematical Journal, [S.l.], 2021. |
| Abstract: | We prove a Gauss-Bonnet and Poincar´e-Hopf type theorem for complex ∂-manifold 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 = D1 ∪ D2 such that D1, D2 have isolated singularities and C = D1 ∩ D2 is a codimension 2 variety with isolated singularities. |
| URI: | https://arxiv.org/abs/1808.05178v4 http://repositorio.ufla.br/jspui/handle/1/48981 |
| Appears in Collections: | DEX - Artigos publicados em periódicos |
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