Minimal free resolutions for subschemes of star configurations

• Alfio Ragusa ^[1] ; Giuseppe Zappalà ^[1]
  1. [1] Università di Catania, Italy
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 220, Nº 1 (January 2016), 2016, págs. 278-291
• Idioma: inglés
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• Resumen

  • We study some subschemes of a star configuration whose support is defined in a combinatorial way. On the other hand we study some schemes arising from special square matrices. We see that in many important cases such subschemes coincide with the previous subschemes of a star configuration. This permits to give a graded minimal free resolution for them, getting in a special case a Gorenstein scheme of codimension 3.