Central orderings in fields of real meromorphic function germs

DOI10.1007/BF01185201zbMath0538.14018OpenAlexW2013135439MaRDI QIDQ793109

Jesus Ma. Ruiz Sancho

Publication date: 1984

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154997

zbMATH Keywords

analytic germformal half branchHilbert 17th problemmaximum dimension locussemi-analytic real spectrumspace of orders of the field of germs of meromorphic functions

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Germs of analytic sets, local parametrization (32B10) Real-analytic functions (26E05) Real-analytic manifolds, real-analytic spaces (32C05) Real algebraic and real-analytic geometry (14Pxx)

Related Items

Positive semidefinite analytic functions on real analytic surfaces, Central Nullstellensätze in real analytic geometry, Nash wings and real prime divisors, A note on a separation problem, On orderings in real surfaces, On Hilbert's 17th problem and real Nullstellensatz for global analytic functions

Cites Work

• On orderings in real surfaces
• Second note on Artin's solution of Hilbert's 17th problem. Order spaces
• Solutions d'un système d'équations analytiques réelles et applications
• Introduction to the theory of analytic spaces
• La topologie du spectre réel
• Sur la divisibilité des fonctions de classe $C^r$ par les fonctions analytiques réelles
• Familles de courbes sur les germes d'espaces analytiques
• Unnamed Item