关于复∂-流形的Gauss-Bonnet与Poincaré-Hopf型定理
代数几何
2020-11-10 v4 复变函数
摘要
我们证明了复∂-流形X̃ = X - D的Gauss-Bonnet与Poincaré-Hopf型定理，其中X是复紧流形，D是约化除子。我们将考虑如下情形：D具有孤立奇点，以及D具有（不必不可约的）分解D=D₁∪D₂使得D₁、D₂具有孤立奇点且C=D₁∩D₂是具孤立奇点的余维2簇。
引用
@article{arxiv.1808.05178,
title = {On Gauss-Bonnet and Poincar\'e-Hopf type theorems for complex $\partial$-manifolds},
author = {Maurício Corrêa and Fernando Lourenço and Diogo Machado and Antonio M. Ferreira},
journal= {arXiv preprint arXiv:1808.05178},
year = {2020}
}
备注
To appear in Moscow Mathematical Journal; To Omegar Calvo-Andrade on the occasion of his 60th birthday