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arXiv · 1211.5096

On the effective membership problem for polynomial ideals

Mats Andersson·Elizabeth Wulcan
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Abstract

We discuss the possibility of representing elements in polynomial ideals in $\C^N$ 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 $\C^N$.

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Mats Andersson, Elizabeth Wulcan. 2012-11-21. On the effective membership problem for polynomial ideals. https://arxiv.org/abs/1211.5096

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