Initial sequences and Waldschmidt constants of planar point   configurations
  The purpose of this work is to extend the classification of planar point configurations with low Waldschmidt constants for all values less than $5/2$. As a consequence we prove a conjecture of Dumnicki, Szemberg and Tutaj-Gasi\'nska concerning initial sequences with low first differences. 
{\L}ucja Farnik, Janusz Gwo\'zdziewicz, Beata Hejmej, Magdalena   Lampa-Baczy\'nska, Grzegorz Malara, Justyna Szpond
math.AG math.AC