M-curves of degree 9 with deep nests
- Autores: Séverine Fiedler Le Touzé
- Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 79, Nº 3, 2009, págs. 649-662
- Idioma: inglés
- DOI: 10.1112/jlms/jdp010
- Enlaces
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Resumen
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.
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