English

Gorenstein algebras presented by quadrics

Commutative Algebra 2011-06-16 v1 Algebraic Geometry

Abstract

We establish restrictions on the Hilbert function of standard graded Gorenstein algebras with only quadratic relations. Furthermore, we pose some intriguing conjectures and provide evidence for them by proving them in some cases using a number of different techniques, including liaison theory and generic initial ideals.

Keywords

Cite

@article{arxiv.1106.2825,
  title  = {Gorenstein algebras presented by quadrics},
  author = {Juan Migliore and Uwe Nagel},
  journal= {arXiv preprint arXiv:1106.2825},
  year   = {2011}
}
R2 v1 2026-06-21T18:22:29.975Z