Deformation classification of typical configurations of 7 points in the real projective plane

FİNASHİN S., Zabun R. A.

TOPOLOGY AND ITS APPLICATIONS, vol.194, pp.358-385, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 194
  • Publication Date: 2015
  • Doi Number: 10.1016/j.topol.2015.07.013
  • Journal Name: TOPOLOGY AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.358-385
  • Middle East Technical University Affiliated: Yes

Abstract

A configuration of 7 points in RP2 is called typical if it has no collinear triples and no coconic sextuples of points. We show that there exist 14 deformation classes of such configurations. This yields classification of real Aronhold sets. (C) 2015 Elsevier B.V. All rights reserved.