On isolated singularities of surfaces which do not affect the conditions of adjunction (Part I.)

On isolated singularities of surfaces which do not affect the conditions of adjunction (Part I.)
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关于不影响附加条件的表面的孤立奇点(第一部分)

DOI:
10.1017/s030500410001269x
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发表时间:
1934
影响因子:
0.8
通讯作者:
N. Leung
N. Leung
中科院分区:
数学2区
文献类型:
--
作者:
J. Bryan;S. Katz;N. Leung

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对于在[r](即r维空间)中一个代数曲面的孤立奇点,我的意思是这样一种奇点:它不仅不在该曲面的多重曲线的任何分支上,而且还具有如下性质:当该曲面从一个一般的[r - 4]空间投影到[3]空间时,这个奇点仍然是孤立的,也就是说,由投影所产生的双曲线的任何分支都不一定会经过它。
By an isolated singularity of an algebraic surface in [r] (i.e. space of r dimensions) I shall mean one which not merely is not upon any branch of a multiple curve of the surface, but has also the property that when the surface is projected into [3] from a general space [r − 4] the singular point remains in isolation, i.e. no branch of the double curve created by the projection will of necessity pass through it.