Skip Navigation


Journal of the London Mathematical Society Advance Access originally published online on May 22, 2009
Journal of the London Mathematical Society 2009 80(1):121-134; doi:10.1112/jlms/jdp019
This Article
Right arrow FREE Full Text (PDF) Freely available
Right arrow All Versions of this Article:
80/1/121    most recent
jdp019v1
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
Google Scholar
Right arrow Articles by Abe, T.
Right arrow Articles by Numata, Y.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2009 London Mathematical Society

Signed-eliminable graphs and free multiplicities on the braid arrangement

Takuro Abe

Department of Mathematics
Kyoto University
Kitashirakawa-Oiwake-Cho
Sakyo-Ku
Kyoto 606-8502
Japan

Koji Nuida

Research Center for Information Security (RCIS)
National Institute of Advanced Industrial Science and Technology (AIST)
Akihabara-Daibiru Room 1003
1-18-13 Sotokanda
Chiyoda-ku
Tokyo 101-0021
Japan
k.nuida@aist.go.jp

Yasuhide Numata

Faculty of Integrated Media
Wakkanai Hokusei Gakuen University
Wakabadai 1-2290-28
Wakkanai
Hokkaido 097-0013
Japan
numata-y@wakhok.ac.jp

We define specific multiplicities on the braid arrangement by using signed graphs. To consider their freeness, we introduce the notion of signed-eliminable graphs as a generalization of Stanley's classification theory of free graphic arrangements by chordal graphs. This generalization gives us a complete classification of the free multiplicities defined above. As an application, we prove one direction of a conjecture of Athanasiadis on the characterization of the freeness of certain deformations of the braid arrangement in terms of directed graphs.

2000 Mathematics Subject Classification 32S22 (primary).

Received April 23, 2008; revised February 18, 2009; published online May 22, 2009.


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




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.