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- W4387687302 abstract "In a recent paper, after introducing the notion of plus-one hyperplane arrangements, Takuro Abe has shown that if we add (resp. delete) a line to (resp. from) a free line arrangement ${mathcal A}$ in $mathbb{P}^2$, then the resulting line arrangement is either free or plus-one generated. In this note we prove that the same properties hold when we replace the line arrangement ${mathcal A}$ by a free curve $C$ and add (resp. delete) a line $L$, under a quasi homogeneity condition on the singularities of $C'=C cup L$ (resp. $C$) situated on $L$." @default.
- W4387687302 created "2023-10-17" @default.
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- W4387687302 date "2023-10-13" @default.
- W4387687302 modified "2023-10-18" @default.
- W4387687302 title "On plus-one generated curves arising from free curves" @default.
- W4387687302 doi "https://doi.org/10.48550/arxiv.2310.08972" @default.
- W4387687302 hasPublicationYear "2023" @default.
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