A new characterization of rational surface singularities.
Steven Dale Cutkosky (1990)
Inventiones mathematicae
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Steven Dale Cutkosky (1990)
Inventiones mathematicae
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Gérard Gonzalez-Sprinberg, Monique Lejeune-Jalabert (1997)
Annales Polonici Mathematici
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Following the study of the arc structure of singularities, initiated by J. Nash, we give criteria for the existence of smooth curves on a surface singularity (S,O) and of smooth branches of its generic hypersurface section. The main applications are the following: the existence of a natural partition of the set of smooth curves on (S,O) into families, a description of each of them by means of chains of infinitely near points and their associated maximal cycle and the existence of smooth...
Oswald Riemenschneider, Ancus Röhr (1990)
Mathematische Annalen
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Jan Stevens (1984)
Mathematische Annalen
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A.J. Reguera (1995)
Manuscripta mathematica
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Kurt Behnke, Jan Arthur Christophersen (1991)
Compositio Mathematica
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Robert Friedman, Henry Pinkham (1984)
Compositio Mathematica
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Frieda M. Ganter (1996)
Mathematische Zeitschrift
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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.
Jonathan M. Wahl (1979)
Compositio Mathematica
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