Weighted homogeneous polynomials with isomorphic milnor algebras. | [Journal of Prime Research in Mathematics • 2012]

Author(s):

1. Imran Ahmed: Department of Mathematics, COMSATS Institute of Information Technology, Lahore, Pakistan; Departamento de Matematicas, Instituto de Ciencias Matematicas e de Computacao, Universidade de Sao Paulo, Sao Carlos-S. P, Brazil

Abstract:

We recall first some basic facts on weighted homogeneous functions and filtrations in the ring A of formal power series. We introduce next their analogues for weighted homogeneous diffeomorphisms and vector fields. We show that the Milnor algebra is a complete invariant for the classification of weighted homogeneous polynomials with respect to right-equivalence, i.e. change of coordinates in the source and target by diffeomorphism.

Page(s): 106-114

DOI: DOI not available

Published: Journal: Journal of Prime Research in Mathematics, Volume: 8, Issue: 0, Year: 2012

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