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math.AC2011★ 1 cited
Gorenstein algebras presented by quadrics
Juan Migliore, Uwe Nagel
We establish restrictions on the Hilbert function of standard graded Gorenstein algebras with only quadratic relations. Furthermore, we pose some intriguing conjectures and provide…
math.AG2011
Hilbert functions of fat point subschemes of the plane: the two-fold way
A. V. Geramita, B. Harbourne, J. Migliore
Two approaches for determining Hilbert functions of fat point subschemes of are demonstrated. A complete determination of the Hilbert functions which occur for 9 doub…