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| ON THE MODULI NUMBER OF PLANE CURVESINGULARITIES WITH ONE CHARACTERISTIC PAIR |
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Citation： |
CHEN Hao.ON THE MODULI NUMBER OF PLANE CURVESINGULARITIES WITH ONE CHARACTERISTIC PAIR[J].Chinese Annals of Mathematics B,1999,20(4):407~412 |
| Page view： 1177
Net amount： 901 |
Authors： |
CHEN Hao; |
Foundation： |
Project supported by the National Natural Science
Foundation of China. |
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| 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 $X^a+Y^b=0$ (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. |
Keywords： |
Moduli number, Plane curve, Singularity,
Characteristic pair |
Classification： |
14H10, 14H20 |
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