Hostname: page-component-8448b6f56d-t5pn6 Total loading time: 0 Render date: 2024-04-19T15:05:10.371Z Has data issue: false hasContentIssue false
  • English
  • Français

Cohomology of Real Diagonal Subspace Arrangements via Resolutions

Published online by Cambridge University Press:  04 December 2007

IRENA PEEVA ,
VIC REINER  and
VOLKMAR WELKER
IRENA PEEVA
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA; e-mail: irena@math.mit.edu
VIC REINER
Affiliation:
Department of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA; e-mail: reiner@math.umn.edu
VOLKMAR WELKER
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA; e-mail: irena@math.mit.edu
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Keywords

syzygiessubspace arrangements.
Type
Research Article
Information
Compositio Mathematica , Volume 117 , Issue 1 , May 1999 , pp. 107 - 123
Copyright
© 1999 Kluwer Academic Publishers