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CHEN Hao.[J].数学年刊A辑,1999,20(4):407~412
ON THE MODULI NUMBER OF PLANE CURVESINGULARITIES WITH ONE CHARACTERISTIC PAIR
Received:July 23, 1998  Revised:April 25, 1999
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中文关键词:  
英文关键词:Moduli number, Plane curve, Singularity, Characteristic pair
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Author NameAffiliation
CHEN Hao Department of Mathematics, Zhongshan University, Guangzhou 510275, China. 
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中文摘要:
      
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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