Free arrangements over finite field

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Free arrangements over finite field

Masahiko Yoshinaga

Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 82, Number 10 (2007), 179-182.

Abstract

The freeness of hyperplane arrangements in a three dimensional vector space over finite field is discussed. We prove that if the number of hyperplanes is greater than some bound, then the freeness is determined by the characteristic polynomial.

Primary Subjects: 52C35

Keywords: Free hyperplane arrangements; finitefiled

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1167536395
Mathematical Reviews number (MathSciNet): MR2303355
Digital Object Identifier: doi:10.3792/pjaa.82.179
Zentralblatt MATH identifier: 1130.52011

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