arXiv 0806.25922008-06math.CV

Explicit representation of membership in polynomial ideals

Mats Andersson, Elin Götmark

备注：: 20 pages

英文摘要：

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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