CHEN Hao.[J].数学年刊A辑,1999,20(4):407~412 |
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ON THE MODULI NUMBER OF PLANE CURVESINGULARITIES WITH ONE CHARACTERISTIC PAIR |
Received:July 23, 1998 Revised:April 25, 1999 |
DOI: |
中文关键词: |
英文关键词:Moduli number, Plane curve, Singularity,
Characteristic pair |
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中文摘要: |
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英文摘要: |
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 $X^a+Y^b=0$ (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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