Explicit representation of membership of polynomial ideals
Artikel i vetenskaplig tidskrift, 2011

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.

Författare

Mats Andersson

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Elin Götmark

Umea universitet

Mathematische Annalen

0025-5831 (ISSN) 1432-1807 (eISSN)

Vol. 349 345-365

Ämneskategorier

Matematik

Fundament

Grundläggande vetenskaper

DOI

10.1007/s00208-010-0524-4