Tie transformations of Dynkin graphs and singularities on quartic surfaces
Tie transformations of Dynkin graphs and singularities on quartic surfaces
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Dynkin 图和四次曲面上奇点的关系变换
DOI：
10.1007/bf01231185
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发表时间：
1990
影响因子：
3.1
通讯作者：
T. Urabe
中科院分区：
文献类型：
--
作者：
T. Urabe
在这篇文章中，我们想提出另一种方法。新的过程称为领带变换。通过一个连变换，我们可以使Dynkin图的顶点数增加一个。这是与初等变换不同的一点。通过初等变换，我们永远不能使顶点数变大。由于这一性质的领带变换，我们可以处理许多有趣的例子，K3表面的皮卡德数是最大的20。（Crollary 0.3，Wavesson [6]，Wall [16]。）
In this article we would like to propose another procedure. The new procedure is called a tie transformation. By one tie transformation we can make the number of vertices in the Dynkin graph larger by one. This is the different point from elementary transformations. By elementary transformations we can never make the number of vertices larger. Because of this property by tie transformations we can treat many interesting examples of K 3 surfaces whose Picard number is the maximal 20.(Crollary 0.3, Persson [6], Wall [16].)