Partial differential Chow forms and a type of partial differential Chow varieties
Partial differential Chow forms and a type of partial differential Chow varieties
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DOI：
10.1080/00927872.2020.1737870
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发表时间：
2017-09
影响因子：
0.7
通讯作者：
Wei Li
中科院分区：
文献类型：
--
作者：
Wei Li
摘要首先给出了不可约偏微分簇与拟一般微分超曲面的交理论。然后，我们定义了Kolchin多项式为以下形式的不可约偏微分簇的偏微分Chow形式，并建立了偏微分Chow形式的常微分对应形式的大部分基本性质。进一步证明了一类偏微分Chow簇的存在性。饰Jason Bell
Abstract We first present an intersection theory of irreducible partial differential varieties with quasi-generic differential hypersurfaces. Then, we define partial differential Chow forms for irreducible partial differential varieties whose Kolchin polynomials are of the form And we establish for partial differential Chow forms most of the basic properties of their ordinary differential counterparts. Furthermore, we prove that a certain type of partial differential Chow varieties exist. Communicated by Jason Bell