A natural equivalence relation on singularities
T. C. Kuo (1988)
Banach Center Publications
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Displaying similar documents to “An extension of a theorem of Abian”
A natural equivalence relation on singularities
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We present a version of the identity principle for analytic sets, which shows that the extension theorem for separately holomorphic functions with analytic singularities follows from the case of pluripolar singularities.
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The jump of the Milnor number of an isolated singularity f 0 is the minimal non-zero difference between the Milnor numbers of f 0 and one of its deformations (f s). We prove that for the singularities in the X 9 singularity class their jumps are equal to 2.
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