On polar invariants of hypersurface singularities
Alejandro Melle-Hernández (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Similarity:
Alejandro Melle-Hernández (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Similarity:
David B. Massey, Dirk Siersma (1992)
Annales de l'institut Fourier
Similarity:
We study deformations of hypersurfaces with one-dimensional singular loci by two different methods. The first method is by using the Le numbers of a hypersurfaces singularity — this falls under the general heading of a “polar” method. The second method is by studying the number of certain special types of singularities which occur in generic deformations of the original hypersurface. We compare and contrast these two methods, and provide a large number of examples.
C. T. C. Wall (1980)
Compositio Mathematica
Similarity:
Alexandru Dimca (1984)
Compositio Mathematica
Similarity:
Eric Dago Akéké (2008)
Annales de la faculté des sciences de Toulouse Mathématiques
Similarity:
The purpose of this article is to show that are satisfied for complex analytic families of normal surface singularities for which the are . According to J. Briançon and J. P. Speder the constancy of the topological type of a family of surface singularities does not imply Whitney conditions in general. We will see here that for a family of these two equisingularity conditions are equivalent.
Kurt Behnke, Jan Arthur Christophersen (1991)
Compositio Mathematica
Similarity:
Alain Joets (2008)
Banach Center Publications
Similarity:
When drawing regular surfaces, one creates a concrete and visual example of a projection between two spaces of dimension 2. The singularities of the projection define the apparent contour of the surface. As a result there are two types of generic singularities: fold and cusp (Whitney singularities). The case of singular surfaces is much more complex. A priori, it is expected that new singularities may appear, resulting from the "interaction" between the singularities of the surface and...