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arXiv · 0806.2592

Explicit representation of membership in polynomial ideals

Mats Andersson·Elin Götmark
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Abstract

We introduce a new division formula on projective space which provides explicit solutions to various polynomial division problems with sharp degree estimates. We consider simple examples as the classical Macaulay theorem as well as a quite recent result by Hickel, related to the effective Nullstellensatz. We also obtain a related result that generalizes Max Noether's classical AF+BG theorem.

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Mats Andersson, Elin Götmark. 2009-08-21. Explicit representation of membership in polynomial ideals. https://arxiv.org/abs/0806.2592

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