Topology of complements to real affine space line arrangements

2019/02/22 by Goo Ishikawa, Ishikawa, Goo, Motoki Oyama +1
Mathematics · #57M15 #58K15 #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals #Primary 57M25 #Secondary 57R45

paper · pdf · doi:10.48550/arxiv.1902.08377

openalex publication_date 2019/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that the diffeomorphism type of the complement to a real space line arrangement in any dimensional affine ambient space is determined only by the number of lines and the data on multiple points.

Citations

• Configurations of skew lines

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