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Transversal zeros and positive semidefinite forms

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Part of the Lecture Notes in Mathematics book series (LNM,volume 959)

Keywords

  • Prime Divisor
  • Real Point
  • Irreducible Factor
  • Effective Divisor
  • Zariski Closure

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References

  1. E. Artin, Über die Zerlegung definiter Funktionen in Quadrate, Abh. Math. Seminar, Universität Hamburg 5, 100–115 (1927).

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. M.D. Choi, T.Y. Lam, Extremal positive semidefinite forms, Math. Ann. 231, 1–18 (1977).

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. M.D. Choi, T.Y. Lam, An old question of Hilbert, Proceedings Quadratic Form Conference 1976 (ed. G. Orzech), Queen’s Papers in Pure and Appl. Math. 46, 385–405.

    Google Scholar 

  4. H. Delfs, M. Knebusch, Semialgebraic topology over a real closed field II: Basic theory of semialgebraic spaces, Math. Z. 178, 175–213 (1981).

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. H. Delfs, M. Knebusch, On the homology of algebraic varieties over real closed fields, to appear, preprint Univ. Regensburg.

    Google Scholar 

  6. D.W. Dubois, G. Efroymson, Algebraic theory of real varieties I, Studies and Essays presented to Yu-Why Chen on his sixtieth birthday (1970), 107–135.

    Google Scholar 

  7. G. Efroymson, Henselian fields and solid k-varieties II, Proc. Amer. Math. Soc. 35, 362–366 (1972).

    MathSciNet  MATH  Google Scholar 

  8. R. Elman, T.Y. Lam, A. Wadsworth, Orderings under field extensions, J. reine angew. Math. 306, 7–27 (1979).

    MathSciNet  MATH  Google Scholar 

  9. B. Reznick, Extremal psd forms with few terms, Duke Math. J. 45, 363–374 (1978).

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. J.J. Risler, Une caractérisation des idéaux des variétés algébriques réelles, C.R. Acad. Sc. Paris 271, 1171–1173 (1970).

    MathSciNet  MATH  Google Scholar 

  11. J.J. Risler, Le théorème des zéros en géometrie algébrique et analytique réelles, Bull. Soc. math. France 104, 113–127 (1976).

    MathSciNet  MATH  Google Scholar 

  12. G. Stengle, A Nullstellensatz and a Positivstellensatz in semialgebraic geometry, Math. Ann. 207, 87–97 (1974).

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. M.D. Choi, T.Y. Lam, B. Reznick, A combinatorial theory for sums of squares of polynomials, in preparation.

    Google Scholar 

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© 1982 Springer-Verlag

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Choi, MD., Knebusch, M., Lam, TY., Reznick, B. (1982). Transversal zeros and positive semidefinite forms. In: Colliot-Thélène, JL., Coste, M., Mahé, L., Roy, MF. (eds) Géométrie Algébrique Réelle et Formes Quadratiques. Lecture Notes in Mathematics, vol 959. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062259

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  • DOI: https://doi.org/10.1007/BFb0062259

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11959-3

  • Online ISBN: 978-3-540-39548-5

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