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Sums of 2n-th powers meromorphic functions with compact zero set

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1524)

Keywords

  • Meromorphic Function
  • Valuation Ring
  • Analytic Manifold
  • Quotient Field
  • Curve Germ

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3. References

  1. C. Andradas, E. Becker: “A note on the Real Spectrum of Analytic functions on an Analytic Manifold of dimension one”. Proceedings of the Conference on Real Analytic and Algebraic Geometry (Trento 1988), Lect. Notes in Math. no. 1420, 1–21, Berlin-Heidelberg-New York, Springer, 1990.

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  2. E. Becker: “The real holomorphic ring and sums of 2n-th powers”, in Lect. Notes Math. 959, Berlin-Heidelberg-New York, Springer, 1982.

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  3. A. Castilla: Dissertation, in preparation.

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  4. P. Jaworski: “The 17-th Hilbert problem for noncompact real analytic manifolds”, this volume.

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  5. W. Kucharz: “Sums of 2n-th powers of real meromorphic functions”, Monatshefte für Mathematik. 107 (1989) 131–336.

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  6. A. Prestel: “Model theory applied to some questions about polynomials”, Proceedings of the Salzburg Conference, May 29–June 1, 1986.

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  7. J. Ruiz: “On Hilbert's 17-th problem and real Nullstellensatz for global analytic functions”, Math. Z. 190, 499–514 (1985).

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  8. J. Ruiz: “A characterizatization of sums of 2n-th powers of global meromorphic functions”, Proceedings of the A.M.S. 109, 915–923 (1990).

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© 1992 Springer-Verlag

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Castilla, A. (1992). Sums of 2n-th powers meromorphic functions with compact zero set. In: Coste, M., Mahé, L., Roy, MF. (eds) Real Algebraic Geometry. Lecture Notes in Mathematics, vol 1524. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084618

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  • DOI: https://doi.org/10.1007/BFb0084618

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  • Online ISBN: 978-3-540-47337-4

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