English

Initial sequences and Waldschmidt constants of planar point configurations

Algebraic Geometry 2018-03-20 v1 Commutative Algebra

Abstract

The purpose of this work is to extend the classification of planar point configurations with low Waldschmidt constants for all values less than 5/25/2. As a consequence we prove a conjecture of Dumnicki, Szemberg and Tutaj-Gasi\'nska concerning initial sequences with low first differences.

Cite

@article{arxiv.1607.01031,
  title  = {Initial sequences and Waldschmidt constants of planar point configurations},
  author = {Łucja Farnik and Janusz Gwoździewicz and Beata Hejmej and Magdalena Lampa-Baczyńska and Grzegorz Malara and Justyna Szpond},
  journal= {arXiv preprint arXiv:1607.01031},
  year   = {2018}
}

Comments

11 pages, 13 figures

R2 v1 2026-06-22T14:42:54.827Z