On line arrangements with odd multiplicities
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917622124118016 |
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| author | Golla, Marco |
| author_facet | Golla, Marco |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17260 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On line arrangements with odd multiplicities Golla, Marco Geometric Topology Algebraic Geometry Combinatorics 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. |
| title | On line arrangements with odd multiplicities |
| topic | Geometric Topology Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2403.17260 |