The cohomology ring of the complement of a finite family of linear subspaces in a complex projective space

2004/11/11 by Carsten Schultz, Schultz, Carsten
Mathematics · #05E25 #52C35 #55N45 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #math.AT #msc:05E25 #msc:52C35 #msc:55N45

paper · pdf · doi:10.48550/arxiv.math/0411263

33 pages

arxiv created 2004/11/11 · openalex publication_date 2004/11/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The integral cohomology ring of the complement of an arrangement of linear subspaces of a finite dimensional complex projective space is determined by combinatorial data, i.e. the intersection poset and the dimension function.

Related

• Cohomological characterizations of the complex projective space
• Cohomology of hyperplane complements with group ring coefficients
• The cohomology ring away from 2 of configuration spaces on real projective spaces
• The integral cohomology of configuration spaces of pairs of points in real projective spaces
• The homotopy type of the complement of a coordinate subspace arrangement