Gorenstein algebras presented by quadrics

• Autores: Juan C. Migliore, Uwe Nagel
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 64, Fasc. 2, 2013, págs. 211-233
• Idioma: inglés
• DOI: 10.1007/s13348-012-0076-x
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• Resumen

  • 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.