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On irreducibility of an analytic set

1963
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Journal of the Mathematical Society of Japan
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§ 1. Let D be a domain in the n-dimensional complex Euclidean space Cn, and M be a k-dimensinal analytic set" in D (1 <_ k < n-1). It is wellknown that the set of all irreducible points of M is not always an open subset of M. For example, the analytic set {zi-z2z3 = 0} in C3 is irreducible at the origin, but there exist reducible points of the analytic set converging to the origin (Osgood [2]). We shall say that a point p is a singular irreducible point of M, if M is irreducible at p and there

doi:10.2969/jmsj/01510001
fatcat:dhx4otld6vdjtejba3gcigsgwa