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- W2032539993 abstract "Let F be R or C , d:= dim R ( F ) . Denote by P ( F ) either the affine plane A ( F ) or the hyperbolic plane H ( F ) over F . An arrangement L of k lines in P ( F ) (pairwise non-parallel in the hyperbolic case) has a link at infinity K ∞ ( L ) comprising k unknotted ( d −1)-spheres in S 2 d −1 , whose topology reflects the combinatorics of L “at infinity”. The class of links at infinity of affine F -line arrangements is properly included in the class of links at infinity of hyperbolic F -line arrangements. Many links at infinity of (essentially non-affine) connected hyperbolic C -line arrangements are far from being fibered. In contrast, if the (affine or hyperbolic) R -line arrangement L R ⊂ P ( R ) is connected, and L = C L R ⊂ P ( C ) is its complexification, then K ∞ ( L ) is fibered." @default.
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- W2032539993 date "2002-02-01" @default.
- W2032539993 modified "2023-09-29" @default.
- W2032539993 title "Some fibered and non-fibered links at infinity of hyperbolic complex line arrangements" @default.
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- W2032539993 doi "https://doi.org/10.1016/s0166-8641(01)00050-5" @default.
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