Article thumbnail

On the Weak Lefschetz Property for artinian Gorenstein algebras of codimension three, preprint. Available on the arXiv

By Mats Boij, Juan Migliore, Rosa M. Miró-roig and Uwe Nagel

Abstract

Abstract. We study the problem of whether an arbitrary codimension three graded artinian Gorenstein algebra has the Weak Lefschetz Property. We reduce this problem to checking whether it holds for all compressed Gorenstein algebras of odd socle degree. In the first open case, namely Hilbert function (1, 3, 6, 6, 3, 1), we give a complete answer in every characteristic by translating the problem to one of studying geometric aspects of certain morphisms from P2 to P3, and Hesse configurations in P2. 1

Year: 2016
OAI identifier: oai:CiteSeerX.psu:10.1.1.743.139
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://arxiv.org/pdf/1302.5742... (external link)
  • http://arxiv.org/pdf/1302.5742... (external link)
  • http://citeseerx.ist.psu.edu/v... (external link)

  • To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.

    Suggested articles