Displaying similar documents to “A really elementary proof of real Lüroth's theorem.”

Periodic solitons and real algebraic curves.

S. M. Natanzon (1997)

Revista Matemática de la Universidad Complutense de Madrid

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We describe a method of calculation of all physical algebraic-geometrical solutions of KP-equations.

Optimal degree construction of real algebraic plane nodal curves with prescribed topology. I. The orientable case.

Francisco Santos (1997)

Revista Matemática de la Universidad Complutense de Madrid

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We study a constructive method to find an algebraic curve in the real projective plane with a (possibly singular) topological type given in advance. Our method works if the topological model T to be realized has only double singularities and gives an algebraic curve of degree 2N+2K, where N and K are the numbers of double points and connected components of T. This degree is optimal in the sense that for any choice of the numbers N and K there exist models which cannot be realized algebraically...