A 2-semiarc is a pointset k with the property that the number of tangent lines to k 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.
2-semiarcs in PG(2,q), q<=13
BARTOLI, DANIELE;FAINA, Giorgio;MARCUGINI, Stefano;PAMBIANCO, Fernanda
2014
Abstract
A 2-semiarc is a pointset k with the property that the number of tangent lines to k 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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
