Skip Navigation

International Mathematics Research Notices (2004) 2004:3439-3467, doi:10.1155/S1073792804141172
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow How to cite this article
Google Scholar
Right arrow Articles by Gaiffi, G.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Copyright © 2004 Hindawi Publishing Corporation. All rights reserved.

Real structures of models of arrangements

Giovanni Gaiffi

We will deal with two "hidden" real structures in the theory of models of subspace arrangements. Given a real subspace arrangement Formula and its complexification Formula, the first structure is a real De Concini-Procesi model Formula that can be seen as the manifold Formula of (canonical) real points inside the complex De Concini-Procesi model Formula. We will study its combinatorial properties by describing it as a quotient of a real model with corners Formula introduced in 2003. A second structure arises, on the contrary, as an "extension" of Formula, when Formula is a Coxeter arrangement. We will "add faces" to Formula and obtain a convex body (or even a polytope); this gives rise to an interesting new family of "realized" posets which includes for instance Kapranov's permutoassociahedra.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?


This article has been cited by other articles:


Home page
 Int Math Res NoticesHome page
A. Henderson and E. Rains
The Cohomology of Real De Concini-Procesi Models of Coxeter Type
Int Math Res Notices, January 1, 2008; 2008(rnn001): rnn001 - 29.
[Abstract] [PDF]

Home page
 Int Math Res PapersHome page
V. Toledano Laredo
Quasi-Coxeter Algebras, Dynkin Diagram Cohomology, and Quantum Weyl Groups
Int Math Res Papers, January 1, 2008; 2008(rpn009): rpn009 - 167.
[Abstract] [PDF]


Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.