Gorenstein points in \ℙ³ via Hadamard product of projective\n varieties

2021/09/21 by Cristiano Bocci, Bocci, Cristiano, Chiara Capresi +3
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2109.10328

openalex publication_date 2021/09/21 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We show how to construct a stick figure of lines in \ℙ³ using the\nHadamard product of projective varieties. Then, applying the results of\nMigliore and Nagel, we use such stick figure to build a Gorenstein set of\npoints with given h-vector mathbf h. Since the Hadamard product is a\ncoordinate-wise product, we show, at the end, how the coordinates of the\npoints, in the Gorenstein set, can be directly determined.\n

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