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Marco Golla
On line arrangements with odd multiplicities
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| Published: |
November 8, 2024. |
| Keywords: |
Line arrangements, smooth 4-manifolds, Rokhlin's theorem, embedded surfaces. |
| Subject [2010]: |
14N20, 52C30, 57K40. |
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Abstract
We obstruct the existence of certain complex 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.
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| Acknowledgements
I was supported by the Etoile Montante grant PSyCo of the Region Pays de la Loire.
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| Author information
Marco Golla
CNRS and Laboratoire de Mathematiques Jean Leray
Nantes Universite
France
marco.golla@univ-nantes.fr
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