Gorenstein algebras presented by quadrics

Details Gorenstein algebras presented by quadrics Gorenstein algebras presented by quadrics

2011-06-14

arxiv.org/abs/1106.2825v1

Mathematics

Commutative Algebra

Scientific paper

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.

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