Prime divisors on real varieties and valuation theory

DOI10.1016/0021-8693(86)90009-8zbMath0595.12015OpenAlexW1985529310MaRDI QIDQ1077464

Heinz-Werner Schülting

Publication date: 1986

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90009-8

zbMATH Keywords

valuation ringsquadratic formsrational pointreal holomorphy ringHenselizationssignatures of higher levelreal function fieldsformally real residue fieldLocal-Global- Principlereal prime divisorsregular projective modelsums of n-th powersweak isotropy

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) Valued fields (12J10) Forms over real fields (11E10) Real algebraic and real-analytic geometry (14Pxx)

Related Items (5)

Density of composite places in function fields and applications to real holomorphy rings ⋮ Generating ideals in real holomorphy rings ⋮ Nash wings and real prime divisors ⋮ On relative real holomorphy rings ⋮ A note on approximation and homotopy in $C(X,S^n)$, $n=1,3,7$

Cites Work

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• Model theory of fields: An application to positive semidefinite polynomials
• Summen n-ter Potenzen in Körpern.
• On a real places of a field and their holomorphy ring

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