Free hyperplane arrangements over arbitrary fields

Michele Torielli; Elisa Palezzato

doi:10.1007/s10801-019-00901-x

Free hyperplane arrangements over arbitrary fields

Michele Torielli, Elisa Palezzato

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

7 Scopus citations

Abstract

In this paper, we study the class of free hyperplane arrangements. Specifically, we investigate the relations between freeness over a field of finite characteristic and freeness over Q.

Original language	English (US)
Pages (from-to)	237-249
Number of pages	13
Journal	Journal of Algebraic Combinatorics
Volume	52
Issue number	2
DOIs	https://doi.org/10.1007/s10801-019-00901-x
State	Published - Sep 1 2020
Externally published	Yes

Keywords

Cohen–Macaulay ideal
Free hyperplane arrangement
Logarithmic derivations

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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10.1007/s10801-019-00901-x

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title = "Free hyperplane arrangements over arbitrary fields",

abstract = "In this paper, we study the class of free hyperplane arrangements. Specifically, we investigate the relations between freeness over a field of finite characteristic and freeness over Q.",

keywords = "Cohen–Macaulay ideal, Free hyperplane arrangement, Logarithmic derivations",

author = "Michele Torielli and Elisa Palezzato",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2020",

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day = "1",

doi = "10.1007/s10801-019-00901-x",

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AU - Torielli, Michele

AU - Palezzato, Elisa

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AB - In this paper, we study the class of free hyperplane arrangements. Specifically, we investigate the relations between freeness over a field of finite characteristic and freeness over Q.

KW - Cohen–Macaulay ideal

KW - Free hyperplane arrangement

KW - Logarithmic derivations

UR - https://www.scopus.com/pages/publications/85073992093

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U2 - 10.1007/s10801-019-00901-x

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M3 - Article

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JO - Journal of Algebraic Combinatorics

JF - Journal of Algebraic Combinatorics

IS - 2

ER -

Free hyperplane arrangements over arbitrary fields

Abstract

Keywords

ASJC Scopus subject areas

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