A Characterization of Sums of 2nth Powers of Global Meromorphic Functions

DOI10.2307/2048118zbMath0705.32003OpenAlexW4248327798MaRDI QIDQ3485166

Jesus Ma. Ruiz Sancho

Publication date: 1990

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2048118

zbMATH Keywords

resolution of singularitiesexcellent ringsmeromorphic functionsreal analytic manifoldsum of 2n-th powersreal analytic setsHilbert's 17-th problemArtin-Lang specialization property

Mathematics Subject Classification ID

Modifications; resolution of singularities (complex-analytic aspects) (32S45) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Meromorphic functions of several complex variables (32A20) Real-analytic and Nash manifolds (58A07) Real-analytic sets, complex Nash functions (32C07) Real-analytic manifolds, real-analytic spaces (32C05)

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