Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
A comment on Briançon–Speder polynomial
Mutsuo Oka
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2025 年 77 巻 2 号 p. 499-511

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Briançon and Speder gave an example of a 𝜇-constant family of weighted homogeneous polynomials for which 𝜇* is not constant. In this note we analyze this example. We study similar weighted homogeneous polynomials and determine the number of possible different topology of curves which are obtained as generic plane sections.

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