Riemann existence theorem and construction of real algebraic curves.
Using the Riemann existence theorem, the author shows the existence of certain real rational maps~\(f\) that are of the form \(D/q^2\), where~\(D=4p^3+27q^2\). The author then studies the topology of the real algebraic curve defined by the equation \(y^3+p(x)y+q(x)=0\), and proves the existence of some new topological types of real algebraic curves on real Hirzebruch surfaces.
scientific article; zbMATH DE number 2124651