Skip Navigation


Journal of the London Mathematical Society Advance Access originally published online on March 27, 2009
Journal of the London Mathematical Society 2009 79(3):649-662; doi:10.1112/jlms/jdp010
This Article
Right arrow FREE Full Text (PDF) Freely available
Right arrow All Versions of this Article:
79/3/649    most recent
jdp010v1
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 Fiedler-Le Touzé, S.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2009 London Mathematical Society

M-curves of degree 9 with deep nests

Séverine Fiedler-Le Touzé

Institut de Mathématiques de Toulouse
Université Paul Sabatier
118 route de Narbonne
31062 Toulouse cedex 9
France

The first part of Hilbert's sixteenth problem deals with the classification of the isotopy types realizable by real plane algebraic curves of given degree m. For m ≥ 8, one restricts the study to the case of M-curves. For m = 9, the classification is still wide open. We say that an M-curve of degree 9 has a deep nest if it has a nest of depth 3. In the present paper, we exclude ten isotopy types with a deep nest and no outer ovals.

2000 Mathematics Subject Classification 14P25 (primary), 14Q05 (secondary).

Received March 10, 2008; revised December 17, 2008; published online March 27, 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.