Topology of complements to real affine space line arrangements
Goo Ishikawa and Motoki Oyama
Journal of Singularities
volume 22 (2020), 373-384
Received: 9 January 2019. Received in revised form: 14 October 2020
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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.
2010 Mathematical Subject Classification:
Primary 57M25; Secondary 57R45, 57M15, 58K15
Key words and phrases:
trivial handle attachment, height function, space graph complement, open three-manifold
Author(s) information:
Goo Ishikawa
Department of Mathematics
Faculty of Sciences
Hokkaido University
Sapporo 060-0810, Japan
email: ishikawa@math.sci.hokudai.ac.jp
Motoki Oyama
Department of Mathematics
Faculty of Sciences
Hokkaido University
Sapporo 060-0810, Japan
email: oyama.motoki@gmail.com
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