The monodromy of a curve with ordinary double points

The monodromy of a curve with ordinary double points
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普通双点曲线的单调性

DOI:
10.1007/bf01389966
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发表时间:
1974
影响因子:
3.1
通讯作者:
M. Oka
M. Oka
中科院分区:
数学1区
文献类型:
--
作者:
M. Oka

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设f(x,y,z)是d次无平方齐次多项式,C是IP 2中的射影曲线,定义为C= f-1(0).我们想研究gt(lP 2-C).为此,我们考虑f的米尔诺纤维化:f/[fl= arg(f):Ss-K~ S 1,其中K= f-~(O)c~ S 5。这种仿射的纤维F自然地与任何仿射超曲面同构
Let f (x, y, z) be a square-free homogeneous polynomial of degree d and let C be the projective curve in IP 2 which is defined by C= f-1 (0). We want to study gt (lP 2-C). For this we consider the Milnor fibering of f: f/[fl= arg (f): Ss-K~ S 1 where K= f-~(O) c~ S 5. The fiber F of this fibering is naturally diffeomorphic to any affine hypersurfaee