Combinatorially equivalent hyperplane arrangements

被引：2

作者：

Palezzato, Elisa ^{[1
]}

Torielli, Michele ^{[2
]}

机构：

[1] Hokkaido Univ, Dept Math, Kita Ku, Kite 10,Nishi 8, Sapporo, Hokkaido 0600810, Japan

[2] Hokkaido Univ, Dept Math, GI CoRE GSB, Kita Ku, Kite 10,Nishi 8, Sapporo, Hokkaido 0600810, Japan

来源：

ADVANCES IN APPLIED MATHEMATICS | 2021年 / 128卷

基金：

日本学术振兴会;

关键词：

Hyperplane arrangements; Lattice of intersections; Combinatorially equivalent; Terao's conjecture; Modular methods; SUBSPACE ARRANGEMENTS;

D O I：

10.1016/j.aam.2021.102202

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the combinatorics of hyperplane arrangements over arbitrary fields. Specifically, we determine in which situation an arrangement and its reduction modulo a prime number have isomorphic lattices via the use of minimal strong sigma-Grobner bases. Moreover, we prove that the Terao's conjecture over finite fields implies the conjecture over the rationals. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：15

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