Hadamard Product of Monomial Ideals and the Hadamard Package

Author:

Bahmani Jafarloo Iman1,Bocci Cristiano2,Guardo Elena3ORCID

Affiliation:

1. Evolution, Kungsgatan 49, 111 22 Stockholm, Sweden

2. Department of Information Engineering and Mathematics, Università degli Studi di Siena, Via Roma 56, 53100 Siena, Italy

3. Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Viale A. Doria, 6, 95100 Catania, Italy

Abstract

In this paper, we generalize and study the concept of Hadamard product of ideals of projective varieties to the case of monomial ideals. We have a research direction similar to the one of the join of monomial ideals contained in a paper of Sturmfels and Sullivant. In the second part of the paper, we give a brief tutorial on the Hadamard.m2 package of Macaulay2.

Funder

Università degli Studi di Catania

“0-dimensional schemes, Tensor Theory and Applications”—PRIN 2022—Finanziato dall’Unione europea—Next Generation EU

Publisher

MDPI AG

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