Cohomology of Real Diagonal Subspace Arrangements via Resolutions

Irena Peeva, Vic Reiner, Volkmar Welker

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


We express the cohomology of the complement of a real subspace arrangement of diagonal linear subspaces in terms of the Betti numbers of a minimal free resolution. This leads to formulas for the cohomology in some cases, and also to a cohomology vanishing theorem valid for all arrangements.

Original languageEnglish (US)
Pages (from-to)99-115
Number of pages17
JournalCompositio Mathematica
Issue number1
StatePublished - Dec 1 1999


  • Subspace arrangements
  • Syzygies


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