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Weighted homogeneous maps from the plane to the plane

Published online by Cambridge University Press:  24 October 2008

T. Gaffney  and
D. M. Q. Mond
T. Gaffney
Affiliation:
Department of Mathematics, Northeastern University, Boston MA 02115, U.S.A.
D. M. Q. Mond
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL, U.K.
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Extract

An analytic map-germ f:(ℂn, 0)→(ℂp, 0) is said to be quasi-homogeneous, or weighted homogeneous, if there are positive integers w1, …, wn, the weights, and positive integers d1, …, dp, the degrees, such that for each monomial appearing in the Taylor expansion of the ith component fi of f, we have

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 109 , Issue 3 , May 1991 , pp. 451 - 470
Copyright
Copyright © Cambridge Philosophical Society 1991

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References

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