an:02124651
Zbl 1078.14083
Orevkov, Stepan Yu.
Riemann existence theorem and construction of real algebraic curves.
EN
Ann. Fac. Sci. Toulouse, VI. Sér., Math. 12, No. 4, 517-531 (2003).
0240-2963 2258-7519
2003
j
14P05
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.
Johannes Huisman (Brest)