Hadamard products of linear spaces

被引：24

作者：

Bocci, Cristiano ^{[1
]}

Carlini, Enrico ^{[2
,3
]}

Kileel, Joe ^{[4
]}

机构：

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

[2] Monash Univ, Sch Math Sci, Wellington Rd, Clayton, Vic, Australia

[3] Politecn Torino, Dept Math Sci, Corso Duca Abruzzi 24, Turin, Italy

[4] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

JOURNAL OF ALGEBRA | 2016年 / 448卷

关键词：

Hadamard products; Linear spaces; Star configurations; Tropical geometry; Bracket polynomials;

D O I：

10.1016/j.jalgebra.2015.10.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe properties of Hadamard products of algebraic varieties. We show any Hadamard power of a line is a linear space, and we construct star configurations from products of collinear points. Tropical geometry is used to find the degree of Hadamard products of other linear spaces. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：595 / 617

页数：23