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arxiv: 1607.01031 · v1 · pith:UWZPAL5Rnew · submitted 2016-07-04 · 🧮 math.AG · math.AC

Initial sequences and Waldschmidt constants of planar point configurations

classification 🧮 math.AG math.AC
keywords configurationsconstantsinitialplanarpointsequenceswaldschmidtclassification
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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.

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