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Explicit representation of membership of polynomial ideals

Mats Andersson (Institutionen för matematiska vetenskaper, matematik) ; Elin Götmark
Mathematische Annalen (0025-5831). Vol. 349 (2011), 2, p. 345-365 .
[Artikel, refereegranskad vetenskaplig]

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.

Denna post skapades 2011-01-04. Senast ändrad 2016-07-14.
CPL Pubid: 132385


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Institutionen för matematiska vetenskaper, matematik (2005-2016)



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