Vanishing results for the cohomology of complex toric hyperplane complements
Suppose R is the complement of an essential arrangement of toric hyperlanes in the complex torus and ? = ?1(R). We show that H*(R;A) vanishes except in the top degree n when A is one of the following systems of local coefficients: (a) a system of nonresonant coefficients in a complex line bundle, (b) the von Neumann algebra N?, or (c) the group ring Z?. In case (a) the dimension of Hn is the Euler characteristic, e(R), and in case (b) the nth l2 Betti number is also |e(R)|.
|Date of creation:||24 Nov 2011|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.lem.sssup.it/Email:
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:ssa:lemwps:2011/23. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ()
If references are entirely missing, you can add them using this form.