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arXiv · 1709.02358

Partial Differential Chow Forms and a Type of Partial Differential Chow varieties

Wei Li
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Abstract

We first present an intersection theory of partial differential varieties with quasi-generic differential hypersurfaces. Then based on the generic intersection theory, we define the partial differential Chow form for an irreducible partial differential variety $V$ of Kolchin polynomial $\omega_V(t)=(d+1){t+m\choose m}-{t+m-s\choose m}$. And we establish for the partial differential Chow form most of the basic properties of the ordinary differential Chow form. Furthermore, we prove the existence of a type of partial differential Chow varieties.

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Wei Li. 2017-09-07. Partial Differential Chow Forms and a Type of Partial Differential Chow varieties. https://arxiv.org/abs/1709.02358

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