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Displaying similar documents to “Smoothings of cusp singularities via triangle singularities”

Singularities in drawings of singular surfaces

Alain Joets (2008)

Banach Center Publications

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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...

Equisingular generic discriminants and Whitney conditions

Eric Dago Akéké (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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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.