2017 | Supplement | Buchkapitel
On the Effective Membership Problem for Polynomial Ideals
verfasst von : Mats Andersson, Elizabeth Wulcan
Erschienen in: Analysis Meets Geometry
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We discuss the possibility of representing elements in polynomial ideals in ℂN with optimal degree bounds. Classical theorems due to Macaulay and Max Noether say that such a representation is possible under certain conditions on the variety of the associated homogeneous ideal. We present some variants of these results, as well as generalizations to subvarieties of ℂN.