Abstract
The author gives another linear-algebraic proof of the famous result of Zariski, Delorme, Briancon-Granger-Maisonobe about the moduli number of plane curve singularities with the same topological type as Xa + Yb = 0 (i.e., with one characteristic pair). Since the original proof depends very much on the division theorem of Briancon, it cannot be generalized to higher dimensions. It is hopeful that the proof here will be applied to the higher dimensional cases.
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