Abstract
Given a surface defined as the graph of a real polynomial in two variables, we analyze some basic subsets characterized by its tangential singularities. If the parabolic curve is compact we provide certain criteria to determine when the unbounded component of its complement is hyperbolic. Moreover, we obtain an upper bound of the number of Gaussian cusps that holds even if the parabolic curve is non compact.
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The second author was partially supported by DGAPA-UNAM grant PAPIIT-IN105806 and IN02407.
The third author was partially supported by DGAPA-UNAM grant PAPIIT-IN110803.
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Hernández-Martínez, L.I., Ortiz-Rodríguez, A. & Sánchez-Bringas, F. On the affine geometry of the graph of a real polynomial. J Dyn Control Syst 18, 455–465 (2012). https://doi.org/10.1007/s10883-012-9154-3
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DOI: https://doi.org/10.1007/s10883-012-9154-3