An algorithm for computing torsion differential forms associated to an isolated hypersurface singularity
An algorithm for computing torsion differential forms associated to an isolated hypersurface singularity
复制标题
一种计算与孤立超曲面奇点相关的扭转微分形式的算法
DOI：
10.1007/s11786-020-00486-w
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
K. Nabeshima
中科院分区：
文献类型：
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作者：
S. Tajima;K. Nabeshima
在符号计算的背景下，考虑了Kähler微分形式的扭模。研究了对数微分形式与对数向量场之间的关系。作为应用，提出了一种计算具有孤立奇点的超曲面的扭转微分形式的有效方法。该方法的主要内容是对数向量场和局部上同调。
The torsion module of Kähler differential forms is considered in the context of symbolic computation. Relations between logarithmic differential forms and logarithmic vector fields are investigated. As an application, an effective method is proposed for computing torsion differential forms associated with a hypersurface with an isolated singularity. The main ingredients of the proposed method are logarithmic vector fields and local cohomology.