Infinitesimal deformations of quotient surface singularities
Kurt Behnke, Constantin Kahn, Oswald Riemenschneider (1988)
Banach Center Publications
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Kurt Behnke, Constantin Kahn, Oswald Riemenschneider (1988)
Banach Center Publications
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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...
Buchner, Klaus (1997)
General Mathematics
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Kimio Watanabe (1980)
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Frieda M. Ganter (1996)
Mathematische Zeitschrift
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Jonathan M. Wahl (1981)
Mathematische Annalen
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Stephen S.-T. Yau, Anatoly Libgober (1990)
Commentarii mathematici Helvetici
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Mathematische Zeitschrift
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Ulrich Karras (1979/80)
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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.