Gorenstein points in {\mathbb {P}}^{3} via Hadamard products of projective varieties

• Bocci, C. ^[1] ; Capresi, C. ^[1] ; Carrucoli, D. ^[1]
  1. [1] Dipartimento di Ingegneria dell’Informazione e Scienze Matematiche, Università di Siena, Via Roma, 56, Siena, Italy
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 74, Fasc. 3, 2023, págs. 505-527
• Idioma: inglés
• DOI: 10.1007/s13348-022-00362-9
• Enlaces
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• Resumen

  • We show how to construct a stick figure of lines in {\mathbb {P}}^3 using the Hadamard product of projective varieties. Then, applying the results of Migliore and Nagel, we use such a stick figure to build a Gorenstein set of points with given h-vector {\varvec{h}}. Since the Hadamard product is a coordinate-wise product, we show, at the end, how the coordinates of the points, in the Gorenstein set, can be directly determined.

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