On relative real holomorphy rings

DOI10.1007/BF01168373zbMath0682.12019MaRDI QIDQ1823996

Michael A. Buchner, Wojciech Kucharz

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/155383

zbMATH Keywords

valuation ringsreal holomorphy ringformally real function field

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Valuations and their generalizations for commutative rings (13A18)

Related Items (6)

Neural networks for optimal approximation of continuous functions in \(\mathbb R^d\) ⋮ A principal ideal theorem for compact sets of rank one valuation rings ⋮ Density of composite places in function fields and applications to real holomorphy rings ⋮ On the ring of locally bounded Nash meromorphic functions ⋮ Affine schemes and topological closures in the Zariski-Riemann space of valuation rings ⋮ Blown-up Čech cohomology and Cartan’s Theorem B on real algebraic varieties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• n-generator ideals in Prüfer domains
• Real algebraic realization of characteristic classes
• Algebraische und topologische reelle Zykeln unter birationalen Transformationen. (Algebraic and topological real cycles under birational transformations.)
• Prime divisors on real varieties and valuation theory
• Generating ideals in Prüfer domains
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Submanifolds and Homology of Nonsingular Real Algebraic Varieties
• Invertible ideals in real holomorphy rings.
• Vector Bundles and Projective Modules
• Über die erzeugendenanzahl invertierbarer ideale in prüferringen
• Topological Examples of Projective Modules
• Characteristic Classes. (AM-76)
• On a real places of a field and their holomorphy ring

This page was built for publication: On relative real holomorphy rings