Correction to our paper: Projective systems supported on the complement of two linear subspaces (Bull. Korean Math. Soc. 37 (2000), 493[--]505)

Masaaki Homma; Seon Jeong Kim; Mi Ja Yoo

Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2004; 41(1): 19-25

Printed March 1, 2004

Correction to our paper: Projective systems supported on the complement of two linear subspaces (Bull. Korean Math. Soc. 37 (2000), 493[--]505)

Masaaki Homma, Seon Jeong Kim, and Mi Ja Yoo

Kanagawa University, Gyeongsang National University, Gyeongsang National University

Abstract

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Abstract

In our previous paper (Bull. Korean Math. Soc. 37 (2000), 493--505), we claimed a theorem on a certain subset of a projective space over a finite field (Theorem~3.1). Recently, however, Professor Kato pointed out that our proof does not work if the field consists of two elements. Here we give an alternative proof of the theorem for the exceptional case.

Keywords: finite field, projective space, hyperplane

MSC numbers: 51E20, 05B25, 14N20