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4.8 Bibliographical Notes

  1. E. Bézout, Recherche sur les degrés de l’équation résultant de l’évanouissement des inconnues, Histoire de l’académie royale des sciences, 288–338, (1764).

    Google Scholar 

  2. W. D. BrownawellLocal diophantine Nullstellen identities, J. AMS 1, 311–322 (1988).

    MATH  MathSciNet  Google Scholar 

  3. L. Caniglia, A. Galligo, J. Heintz, Borne simplement exponentielle pour les degrés dans le théorème des zéros sur un corps de caractéristique quelconque, C. R. Acad. Sci. Paris 307, 255–258 (1988).

    MATH  MathSciNet  Google Scholar 

  4. L. Euler, Démonstration sur le nombre de points où deux lignes d’ordre quelconque peuvent se couper, Mémoires de l’Académie des Sciences de Berlin, 4, 234–248, (1750).

    Google Scholar 

  5. P. Gordan, Verlesungen über Invarientheorie-Ester Band: Determinanten, B. G. Teubner, Leipzig (1885).

    Google Scholar 

  6. G. Hermann, Die Frage der endlich vielen Schritte in der Theorie der Polynomialideale, Math. Annalen 95, 736–788 (1926).

    Article  MATH  MathSciNet  Google Scholar 

  7. C. Hermite, Remarques sur le théorème de Sturm, C. R. Acad. Sci. Paris 36, 52–54 (1853).

    Google Scholar 

  8. D. Hilbert, über die Theorie der algebraischen Formen, Math. Annalen 36, 473–534 (1890).

    Article  MATH  MathSciNet  Google Scholar 

  9. J. Kollar, Effective Nullstellensatz for arbitrary ideals, J. Eur. Math. Soc. 1 no. 3, 313–337 (1999).

    Article  MATH  MathSciNet  Google Scholar 

  10. J. J. Sylvester, On a theory of syzygetic relations of two rational integral functions, comprising an application to the theory of Sturm’s function. Trans. Roy. Soc. London (1853).

    Google Scholar 

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(2006). Algebra. In: Algorithms in Real Algebraic Geometry. Algorithms and Computation in Mathematics, vol 10. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-33099-2_5

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