2022/11/01 by Iman Bahmani Jafarloo, C. Bocci, Jafarloo, I. Bahmani +5
Computer Science · Engineering · Mathematics · #13C40 #13D02 #13F20 #14M99 #14N20 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2211.00200
openalex publication_date 2022/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we address the question if, for points P, Q ∈ ℙ2, I(P)m ⋆ I(Q)n=I(P ⋆ Q)m+n-1 and we obtain different results according to the number of zero coordinates in P and Q. Successively, we use our results to define the so called Hadamard fat grids, which are the result of the Hadamard product of two sets of collinear points with given multiplicities. The most important invariants of Hadamard fat grids, as minimal resolution, Waldschmidt constant and resurgence, are then computed.