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arXiv 0908.3863math.AC
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有限群的差分零点定理

Difference Nullstellensatz in the case of finite group

Dima Trushin

备注：
43 pages. In Proposition 25 (Statement 25), condition (3) was added. Propositions 26, 34 were added. For Proposition 31 (Statement 29), a second proof was added. Sections 4.6-4.10 were added. For Proposition 42 (Statement 37), a complete proof was added. Propositions 44, 46 (Statement 39, 40) were generalized. Additionally, some typos were corrected. The abstract was slightly modified
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摘要：

我们发展了具有给定自同构群的差分方程的几何理论。为了解决这个问题，我们将差域类推广到称为伪域的绝对平坦单差环类。证明了伪域上的零簇，并研究了伪簇的几何性质。

英文摘要：

We develop a geometric theory for difference equations with a given group of automorphisms. To solve this problem we extend the class of difference fields to the class of absolutely flat simple difference rings called pseudofields. We prove the Nullstellensatz over pseudofields and investigate geometric properties of pseudovarieties.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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