We prove a Gauss-Bonnet and Poincaré -Hopf type theorem for complex მ-manifold X̃ = 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 ꓴD2 such that D1, D2 have isolated singularities and C = D1 ꓵD2 is a codimension 2 variety with isolated singularities.
On gauss-bonnet and poincarÉ -hopf type theorems for complex მ-manifolds
Barros Correa Mauricio
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2021-01-01
Abstract
We prove a Gauss-Bonnet and Poincaré -Hopf type theorem for complex მ-manifold X̃ = 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 ꓴD2 such that D1, D2 have isolated singularities and C = D1 ꓵD2 is a codimension 2 variety with isolated singularities.File in questo prodotto:
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