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Normal forms and bases of local rings of irreducible germs of functions of two variables

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Abstract

Irreducible germs of functions of two variables are studied; their normal forms relative to the action of the group of germs of diffeomorphisms are computed along with the bases of their local rings. The answers are formulated in terms of Puiseux pairs of the germ.

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Authors
  1. P. Yavorski
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Additional information

Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 13, pp. 19–35, 1988.

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Yavorski, P. Normal forms and bases of local rings of irreducible germs of functions of two variables. J Math Sci 50, 1350–1364 (1990). https://doi.org/10.1007/BF01097028

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  • DOI: https://doi.org/10.1007/BF01097028

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