International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 962719, 22 pages
Research Article

On the Complex and Real Hessian Polynomials

1Universidad Autónoma de la Ciudad de México (UACM), Calzada Ermita Iztapalapa 4163, Col. Lomas de Zaragoza C.P., Delegación Iztapalapa, 09620 México, DF, Mexico
2Instituto de Matemáticas (IMATE-D.F.), Universidad Nacional Autónoma de México (UNAM), Area de la Inv. Cient. Circuito Exterior, C.U., C.P, 04510 México, DF, Mexico

Received 25 November 2009; Accepted 8 March 2010

Academic Editor: Mihai Putinar

Copyright © 2010 Emigdio Martínez-Ojeda and Adriana Ortiz-Rodríguez. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We study some realization problems related to the Hessian polynomials. In particular, we solve the Hessian curve realization problem for degrees zero, one, two, and three and the Hessian polynomial realization problem for degrees zero, one, and two.