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Functions and vector fields on C(CPn)-singular manifolds
(Springer, 2014-08-01)
Let M2n+1 be a C(CPn) -singular manifold. We study functions and vector fields with isolated singularities on M2n+1. A C(CPn) -singular manifold is obtained from a smooth manifold M2n+1 with boundary in the form of a ...
An elliptic singular system with nonlocal boundary conditions
(Elsevier, 2012-10)
We study the existence of solutions for the nonlinear second order elliptic system ∆u + g(u) = f(x), where g ∈ C(R N \ S, R N ) with S ⊂ R N bounded. Using topological degree methods, we prove an existence result under a ...
Stable singularities of co-rank one quasi homogeneous map germs from (ℂn+1, 0) to (ℂn, 0), n = 2, 3
(2013-05-01)
In this article, we investigate the geometry of quasi homogeneous corank one finitely determined map germs from (ℂn+1, 0) to (ℂn, 0) with n = 2, 3. We give a complete description, in terms of the weights and degrees, of ...
Stable singularities of co-rank one quasi homogeneous map germs from (ℂn+1, 0) to (ℂn, 0), n = 2, 3
(2013-05-01)
In this article, we investigate the geometry of quasi homogeneous corank one finitely determined map germs from (ℂn+1, 0) to (ℂn, 0) with n = 2, 3. We give a complete description, in terms of the weights and degrees, of ...
Topological invariants of isolated complete intersection curve singularities
(SPRINGER HEIDELBERG, 2009)
In this paper we present some formulae for topological invariants of projective complete intersection curves with isolated singularities in terms of the Milnor number, the Euler characteristic and the topological genus. ...
Singular Levi-flat hypersurfaces
(Universidade Federal de Minas GeraisUFMG, 2017-11-24)
In this thesis we study germs of singular real-analytic Levi-flat hypersurfaces with two distinct purposes. We show the existence of normal forms for germs of singular Levi-flat hypersurfaces which are defined by the ...
FUNCTIONS AND VECTOR FIELDS ON C(CPn)-SINGULAR MANIFOLDS
(Juliusz Schauder Ctr Nonlinear Studies, 2015-12-01)
In this paper we study functions and vector fields with isolated singularities on a C(CPn)-singular manifold. In general, a C(CPn)-singular manifold is obtained from a smooth (2n+1) -manifold with boundary which is a ...
Fórmulas residuais de tipo Bott e invariante de Futaki para orbifolds complexos
(Universidade Federal de Minas GeraisUFMG, 2015-02-06)
This work is divided int two parts. In the first part of the work, in Theorem 2.1, we give a first version of Botts fórmula for a compact complex orbifold with isolated singularities. In Theorem 2.4, using a good resolution ...
Deformations with constant Lê numbers and multiplicity of nonisolated hypersurface singularities
(Cambridge University PressNew York, 2015-06)
We show that the possible jump of the order in an 1-parameter deformation family of (possibly nonisolated) hypersurface singularities, with constant Lê numbers, is controlled by the powers of the deformation parameter. In ...