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• W1034878811 abstract "A tree singularity is a surface singularity that consists of smooth components, glued along smooth curves in the pattern of a tree. Such singularities naturally occur as degenerations of certain rational surface singularities. To be more precise, they can be considered as limits of certain series of rational surface singularities with reduced fundamental cycle. We introduce a general class of limits, construct series deformations for them and prove a stability theorem stating that under the condition of finite dimensionality of T 2 the base space of a semi-universal deformation for members high in the series coincides up to smooth factor with the “base space of the limit”. The simplest tree singularities turn out to have already a very rich deformation theory, that is related to problems in plane geometry. From this relation, a very clear topological picture of the Milnor fibre over the different components can be obtained." @default.
• W1034878811 created "2016-06-24" @default.
• W1034878811 creator A5013792783 @default.
• W1034878811 date "2013-01-01" @default.
• W1034878811 modified "2023-10-02" @default.
• W1034878811 title "Tree Singularities: Limits, Series and Stability" @default.
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• W1034878811 doi "https://doi.org/10.1007/978-3-642-39131-6_7" @default.
• W1034878811 hasPublicationYear "2013" @default.
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