Resumen de M-curves of degree 9 with deep nests
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.
