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Shape invariant lists and realization as plane real algebraic curves with double points

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1420)

Keywords

  • Singular Point
  • Topological Type
  • Common Edge
  • Admissible Pair
  • Simple Pair

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References

  1. D.S. Arnon, S. Mc Callum. "A polynomial time algorithm for the topological type of a real algebraic curve". J.Symbolic Computation.(1988) 5,213–236.

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  3. M. F. Roy. Computation of the topology of a real curve. Proceedings of the "Computational Geometry and Topology and Computation in Teaching Mathematics Congress"Sevilla, España, (1987).

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  4. M. Coste, F. Roy. "Thom's lemma, the coding of real algebraic numbers and the computation of the topology of semialgbraic sets". J.Symbolic Computation.(1988) 5,121–129.

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  5. M. F. Roy, D. Duval. "Courbes et calcul formal". Seminaire sur calcul formel du CNRS PARIS.(1988)

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  6. F. Cucker, L. M. Pardo, M. Raimondo, T. Recio, M. F. Roy. "On the computation of the local and global analytic branches of a real algebraic curve". Dipartamento di Matematica, Universitá di Genova. Preprint,no 21. (1987).

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  7. H. Scott, P. Hass, "On the intersections of curves on surfaces". Preprint

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  8. A.Gonzalez-Corbalan, T.Recio,"Sobre las formas topologicas de las curvas cerradas". Comunicacion a las XIII Jornadas Hispano-lusas de Matematicas. Valladolid 1988

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  9. A.Gonzalez-Corbalan, T.Recio, "An algorithm to catologue the shape of closed curves with only double points" Technical report. Universidad de Cantabria. 1989.

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© 1990 Springer-Verlag

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Gonzalez-Corbalan, A., Recio, T. (1990). Shape invariant lists and realization as plane real algebraic curves with double points. In: Galbiati, M., Tognoli, A. (eds) Real Analytic and Algebraic Geometry. Lecture Notes in Mathematics, vol 1420. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083917

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  • DOI: https://doi.org/10.1007/BFb0083917

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52313-0

  • Online ISBN: 978-3-540-46952-0

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