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Explicit representation of membership in polynomial ideals
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2011 (English)In: Mathematische Annalen, ISSN 0025-5831, E-ISSN 1432-1807, Vol. 349, no 2, 345-365 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Springer, 2011. Vol. 349, no 2, 345-365 p.
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Mathematics
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URN: urn:nbn:se:umu:diva-104542DOI: 10.1007/s00208-010-0524-4ISI: 000286003900003OAI: oai:DiVA.org:umu-104542DiVA: diva2:822429
Available from: 2015-06-16 Created: 2015-06-11 Last updated: 2017-12-04Bibliographically approved

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Götmark, Elin

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