Riemann existence theorem and construction of real algebraic curves. (Q1890436)
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scientific article; zbMATH DE number 2124651
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Riemann existence theorem and construction of real algebraic curves. |
scientific article; zbMATH DE number 2124651 |
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Riemann existence theorem and construction of real algebraic curves. (English)
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3 January 2005
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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.
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