We show how to construct a stick figure of lines in P3 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 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.

Bocci, C., Capresi, C., Carrucoli, D. (2022). Gorenstein points in P3 via Hadamard products of projective varieties. COLLECTANEA MATHEMATICA [10.1007/s13348-022-00362-9].

Gorenstein points in P3 via Hadamard products of projective varieties

Bocci C.
;
Capresi C.;
2022-01-01

Abstract

We show how to construct a stick figure of lines in P3 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 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.
Bocci, C., Capresi, C., Carrucoli, D. (2022). Gorenstein points in P3 via Hadamard products of projective varieties. COLLECTANEA MATHEMATICA [10.1007/s13348-022-00362-9].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/1210035