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On the realization problem of real algebraic plane curves as Hessian curves |
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| Authors: | Angelito Camacho-Calderón Adriana Ortiz-Rodríguez |
| Affiliation: | 1. Instituto de Matemáticas, unidad Cuernavaca, Universidad Nacional Autónoma de México, Av. Universidad s/n. Col. Lomas de Chamilpa, c.p. 62210, Cuernavaca, Morelos, México 2. Instituto de Matemáticas, Universidad Nacional Autónoma de México, Area de la Inv. Cient., Circuito Exterior, C. U. c.p. 04510, México, D.F., México |
| Abstract: | In this paper we study some problems in Hessian topology. We prove that certain real plane curves satisfy the requirements of the Hessian curve of a differential function. The real plane curves we consider are those with k outer ovals and also those which only have one nest of depth k, with ({k in mathbb{N}}) . |
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