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arXiv · 1607.01031

Initial sequences and Waldschmidt constants of planar point configurations

Łucja Farnik·Janusz Gwoździewicz·Beata Hejmej·Magdalena Lampa-Baczyńska·Grzegorz Malara·Justyna Szpond
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Abstract

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

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Łucja Farnik, Janusz Gwoździewicz, Beata Hejmej, Magdalena Lampa-Baczyńska, Grzegorz Malara, Justyna Szpond. 2016-07-04. Initial sequences and Waldschmidt constants of planar point configurations. https://doi.org/10.1142/s0218196717500345

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