The height of a permutation and applications to distance between real line arrangements

Meirav Amram; Moshe Cohen; Hao Max Sun; Mina Teicher

doi:10.3906/mat-1902-77

The height of a permutation and applications to distance between real line arrangements

Meirav Amram, Moshe Cohen, Hao Max Sun, Mina Teicher

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

We present a new notion of a distance between two real line arrangements. We define the height of a permutation and use this idea in our main theorem, which gives us a lower bound on the distance between the pair. We apply these techniques to the seven special cases of real arrangements with ten lines found in previous work by the authors.

Original language	English
Pages (from-to)	2041-2061
Number of pages	21
Journal	Turkish Journal of Mathematics
Volume	44
DOIs	https://doi.org/10.3906/mat-1902-77
State	Published - 2020

Keywords

Moduli space
automorphism group
degenerate arrangements
distance invariant
line arrangements

All Science Journal Classification (ASJC) codes

General Mathematics

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10.3906/mat-1902-77

Cite this

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abstract = "We present a new notion of a distance between two real line arrangements. We define the height of a permutation and use this idea in our main theorem, which gives us a lower bound on the distance between the pair. We apply these techniques to the seven special cases of real arrangements with ten lines found in previous work by the authors.",

keywords = "Moduli space, automorphism group, degenerate arrangements, distance invariant, line arrangements",

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AU - Amram, Meirav

AU - Cohen, Moshe

AU - Sun, Hao Max

AU - Teicher, Mina

N1 - Publisher Copyright: © This work is licensed under a Creative Commons Attribution 4.0 International License.

PY - 2020

Y1 - 2020

N2 - We present a new notion of a distance between two real line arrangements. We define the height of a permutation and use this idea in our main theorem, which gives us a lower bound on the distance between the pair. We apply these techniques to the seven special cases of real arrangements with ten lines found in previous work by the authors.

AB - We present a new notion of a distance between two real line arrangements. We define the height of a permutation and use this idea in our main theorem, which gives us a lower bound on the distance between the pair. We apply these techniques to the seven special cases of real arrangements with ten lines found in previous work by the authors.

KW - Moduli space

KW - automorphism group

KW - degenerate arrangements

KW - distance invariant

KW - line arrangements

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DO - 10.3906/mat-1902-77

M3 - مقالة

SN - 1300-0098

VL - 44

SP - 2041

EP - 2061

JO - Turkish Journal of Mathematics

JF - Turkish Journal of Mathematics

ER -

The height of a permutation and applications to distance between real line arrangements

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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