Subspace arrangements defined by products of linear forms
2005 (English)In: Journal of the London Mathematical Society, ISSN 0024-6107, E-ISSN 1469-7750, Vol. 71, 273-288 p.Article in journal (Refereed) Published
The vanishing ideal of an arrangement of linear subspaces in a vector space is considered, and the paper investigates when this ideal can be generated by products of linear forms. A combinatorial construction (blocker duality) is introduced which yields such generators in cases with a great deal of combinatorial structure, and examples are presented that inspired the work. A construction is given which produces all elements of this type in the vanishing ideal of the arrangement. This leads to an algorithm for deciding if the ideal is generated by products of linear forms. Generic arrangements of points in P-2 and lines in P-3 are also considered.
Place, publisher, year, edition, pages
2005. Vol. 71, 273-288 p.
ideals, generators, points
IdentifiersURN: urn:nbn:se:kth:diva-14737DOI: 10.1112/s0024610705006356ISI: 000228952000001ScopusID: 2-s2.0-33644615877OAI: oai:DiVA.org:kth-14737DiVA: diva2:332778
QC 201005252010-08-052010-08-05Bibliographically approved