The diffeomorphic types of the complements of arrangements in CP^3 I : Point arrangements

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概要

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• For any arrangement of hyperplanes in CP3, we introduce the soul of this arrangement. The soul, which is a pseudo-complex, is determined by the combinatorics of the arrangement of hyperplanes. If the soul consists of a set of points (0-simplices) and a set of planes (2-simplices), then the arrangement is called point arrangement. In this paper, we give a sufficient combinatoric condition for two point arrangements of hyperplanes to be diffeomorphic to each other. In particular we have found sufficient condition on combinatorics for the point arrangement of hyperplanes whose moduli space is connected.

• 社団法人 日本数学会の論文
• 2007-04-01

著者

• YAU Stephen

  Department of Mathematics,Statistics and Computer Science(M/C 249) University of Illinois at Chicago

• Yau Stephen

  Department Of Mscs M/c 249 University Of Illinois At Chicago

• Yau Stephen

  Department Of Mathematics Statistics And Computer Science(m/c 249) University Of Illinois At Chicago

• WANG Shaobo

  Strata Marketing, Inc.

• Wang Shaobo

  Strata Marketing Inc.

関連論文

• Punctured local holomorphic de Rham cohomology
• Invariant Kohn-Rossi cohomology and obstruction to embedding of compact real(2n-1)-dimensional CR manifolds in C^N
• The diffeomorphic types of the complements of arrangements in CP^3 I : Point arrangements

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