Semicontinuity of the Łojasiewicz exponent

Details Semicontinuity of the Łojasiewicz exponent Semicontinuity of the Łojasiewicz exponent

2011-02-23

arxiv.org/abs/1102.4730v1

Mathematics

Algebraic Geometry

Scientific paper

We prove that the {\L}ojasiewicz exponent $l_0(f)$ of a finite holomorphic
germ $f:(C^n,0)\to(C^n,0)$ is lower semicontinuous in any multiplicity-constant
deformation of $f$.

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