Explicit representation of membership in polynomial ideals

Details Explicit representation of membership in polynomial ideals Explicit representation of membership in polynomial ideals

2008-06-16

arxiv.org/abs/0806.2592v2

Mathematics

Complex Variables

20 pages

Scientific paper

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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