The Dowling transform of subspace arrangements (Q1584659)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The Dowling transform of subspace arrangements |
scientific article; zbMATH DE number 1525312
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Dowling transform of subspace arrangements |
scientific article; zbMATH DE number 1525312 |
Statements
The Dowling transform of subspace arrangements (English)
0 references
13 June 2001
0 references
The paper introduces the Dowling transform, which takes a real frame arrangement with coordinate hyperplanes into a complex one. The Dowling transform takes the braid arrangement \(A_n\) to the Dowling arrangement. It is shown that the Dowling transform preserves supersolvability. A direct proof is given to Zaslavsky's theorem, which counts the chambers and bounded chambers of a real hyperplane arrangement in terms of the characteristic polynomial of the arrangement.
0 references
valuations
0 references
intersection lattice
0 references
frame arrangement
0 references
Dowling transform
0 references
braid arrangement
0 references
supersolvability
0 references
hyperplane arrangement
0 references
characteristic polynomial
0 references
0 references
