Euclidean algorithm and Kummer covers with many points.
Garzón, Alvaro (2003)
Revista Colombiana de Matemáticas
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Garzón, Alvaro (2003)
Revista Colombiana de Matemáticas
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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.
Johannes Huisman (2002)
Revista Matemática Complutense
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Let C ⊆ P be an unramified nonspecial real space curve having many real branches and few ovals. We show that C is a rational normal curve if n is even, and that C is an M-curve having no ovals if n is odd.
J.F. Voloch (1991)
Bulletin de la Société Mathématique de France
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Carvalho, Cícero F. (1999)
International Journal of Mathematics and Mathematical Sciences
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Yoshiyuki Kuramoto (1981)
Compositio Mathematica
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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...
A. Nobile (1987)
Annales scientifiques de l'École Normale Supérieure
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Rita Pardini (1986)
Compositio Mathematica
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