Difference Chow form

JOURNAL OF ALGEBRA

卷:428

Article

Li, Wei¹  Li, Ying-Hong¹ 

[1] Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China

关键词: Difference Chow form;    Generic intersection theorem;    Difference dimension polynomial;   

DOI  :  10.1016/j.jalgebra.2014.12.037

来源: Elsevier

【 摘 要 】

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 homogeneous and has the same order as V. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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