On Gauss-Bonnet and Poincar\'e-Hopf type theorems for complex $\partial$-manifolds
zbMath1483.14008arXiv1808.05178MaRDI QIDQ5155004
Antonio M. Ferreira, Diogo MacHado, Fernando Lourenço, Maurício Barros Corrêa Jr.
Publication date: 5 October 2021
Full work available at URL: https://arxiv.org/abs/1808.05178
Gauss-Bonnet theoremChern classesPoincaré dualityPoincaré-Hopf indexlogarithmic foliationsresiduesfundamental classlogarithmic differential formsGSV-index
Singularities in algebraic geometry (14B05) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Characteristic classes and numbers in differential topology (57R20) Complex surface and hypersurface singularities (32S25) Singularities of holomorphic vector fields and foliations (32S65)
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