Akademik Veri Yönetim Sistemi
Arrangements in Ticino, Bellinzona, İsviçre, 27 Haziran - 01 Temmuz 2022
A (k,d)-multinet is a certain configuration of lines and points with multiplicities in
CP^2. If there is at least one multiple line in a class of a (k,d)-multinet, it is called heavy. By
using the main result proved by Yuzvinsky and the article written by Bassa and Ki¸sisel, we
conclude that if a multinet is heavy, the only k value is 3. Therefore, each heavy multinet is of
the form (3,d). A heavy (3,2n)-multinet is constructed for n > 1. We discuss the possibilities
for combinatorics of lines and points inside a heavy (3,2n+1)-multinet and have showed that
there exists neither a heavy (3,3) nor a heavy (3,5)-multinet. Moreover, we have discovered
several numerical results of a heavy (3,2n+1)-multinet containing a multiple line consisting of
three points from X