Hadamard Products of Symbolic Powers and Hadamard Fat Grids

被引：1

作者：

Jafarloo, I. Bahmani ^{[1
]}

Bocci, C. ^{[2
]}

Guardo, E. ^{[1
]}

Malara, G. ^{[3
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95100 Catania, Italy

[2] Univ Siena, Dept Informat Engn & Math, Via Roma 56, I-53100 Siena, Italy

[3] Pedag Univ Cracow, Inst Math, Podchorazych 2, PL-30084 Krakow, Poland

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 03期

关键词：

Hadamard products; fat grids; Waldschmidt constant; resurgence;

D O I：

10.1007/s00009-023-02375-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we address the question if, for points P, Q ? P-2, I(P)I-m(*)(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.

引用

页数：24

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