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arXiv · 1308.2469

Difference Chow Form

Wei Li·Ying-Hong Li
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Abstract

In this paper, the generic intersection theory for difference varieties is presented. Precisely, the intersection of an irreducible difference variety of dimension $d > 0$ and order $h$ with a generic difference hypersurface of order $s$ is shown to be an irreducible difference variety of dimension $d-1$ and order $h+s$. Based on the intersection theory, the difference Chow form for an irreducible difference variety is defined. Furthermore, it is shown that the difference Chow form of an irreducible difference variety $V$ is transformally homogenous and has the same order as $V$.

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Wei Li, Ying-Hong Li. 2013-08-26. Difference Chow Form. https://arxiv.org/abs/1308.2469

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