Affordable Access

2-semiarcs in PG(2, q), q <= 13

Authors
  • Bartoli, Daniele
  • Faina, Giorgio
  • Kiss, Gyoergy
  • Marcugini, Stefano
  • Pambianco, Fernanda
Publication Date
Jan 01, 2014
Source
Ghent University Institutional Archive
Keywords
Language
English
License
Unknown
External links

Abstract

A 2-semiarc is a pointset S-2 with the property that the number of tangent lines to S-2 at each of its points is two. Using some theoretical results and computer aided search, the complete classification of 2-semiarcs in PG(2, q) is given for q <= 7, the spectrum of their sizes is determined for q <= 9, and some results about the existence are proven for q = 11 and q = 13. For several sizes of 2-semiarcs in PG(2, q), q <= 7, classification results have been obtained by theoretical proofs.

Report this publication

Statistics

Seen <100 times