On the effective membership problem for polynomial ideals
Kapitel i bok, 2017

We discuss the possibility of representing elements in polynomial ideals in ℂN with optimal degree bounds. Classical theorems due to Macaulay and Max Noether say that such a representation is possible under certain conditions on the variety of the associated homogeneous ideal. We present some variants of these results, as well as generalizations to subvarieties of ℂN.

Författare

Mats Andersson

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Elizabeth Wulcan

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Trends in Mathematics

2297-024X (ISSN)

9783319524696 91-109

Ämneskategorier

Matematik

DOI

10.1007/978-3-319-52471-9_6

Mer information

Skapat

2017-10-08