Elementary transformations of Dynkin graphs and singularities on quartic surfaces

Elementary transformations of Dynkin graphs and singularities on quartic surfaces
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DOI:
10.1007/bf01389242
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发表时间:
1987-10
影响因子:
3.1
通讯作者:
T. Urabe
T. Urabe
中科院分区:
数学1区
文献类型:
--
作者:
T. Urabe

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在这篇文章中,我们给出了定理0.2的一个证明,它表明,使用Dynkin图的初等变换的概念,人们可以给出一个系统的描述所有可能的奇异点的组合在四次曲面上的投影空间IP 3的3维。在[20]中只给出了这个定理的陈述。
In this article we give a proof of Theorem 0.2 below, which shows that using the notion of elementary transformation of Dynkin graphs, one can give a systematic description of all possible combinations of singularities on quartic surfaces in the projective space IP 3 of dimension 3. In [20] only the statement of this theorem had been given.