On Gauss-Bonnet and Poincaré-Hopf type theorems for complex $\partial$-manifolds

Maurício Corrêa, Fernando Lourenço, Diogo Machado +1

We prove a Gauss-Bonnet and Poincaré-Hopf type theorems for complex $\partial$-manifold $\tilde{X}=X-D$, where $X$ is a complex compact manifold and $D$ is a reduced divisor. W…