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Pré-Publication, Document De Travail Année : 2024

On line arrangements with odd multiplicities

Résumé

We give restrictions on the weak combinatorics of line arrangements with singular points of odd multiplicity using topological arguments on locally-flat spheres in 4-manifolds. As a corollary, we show that there is no line arrangement comprising 13 lines and with only triple points.

Dates et versions

hal-04528708 , version 1 (02-04-2024)

Identifiants

Citer

Marco Golla. On line arrangements with odd multiplicities. 2024. ⟨hal-04528708⟩

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