Signatures et composantes connexes

DOI10.1007/BF01457236zbMath0507.14019MaRDI QIDQ1837253

Louis Mahé

Publication date: 1982

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163666

zbMATH Keywords

Witt ringsignaturereal spectrumordered field

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Relevant commutative algebra (14A05) Ordered rings (13J25) General binary quadratic forms (11E16) Real algebraic and real-analytic geometry (14Pxx)

Related Items (12)

Application signature et anneaux archimédiens ⋮ Pfister's theorem for varieties and reduced Witt rings ⋮ About the image of the total signature map in the two-dimensional case ⋮ On the separation of connected components by étale cohomology ⋮ On the Mostowski number ⋮ Cohomological invariants for quadratic forms over local rings ⋮ Remarks on a certain idempotency property of witt rings ⋮ Graded Witt ring and unramified cohomology ⋮ Stability index of real varieties ⋮ The Witt group of real algebraic varieties ⋮ Real components of algebraic varieties and étale cohomology ⋮ Real cohomology and the powers of the fundamental ideal in the Witt ring

Cites Work

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• Fibres quadratiques et composantes connexes réelles
• Substitution in Nash functions
• Quadratic forms over semilocal rings
• On prime ideals of a Witt ring over a local ring
• On the uniqueness of real closures and the existence of real places
• The weak local global principle in algebraic k-theory
• Localisation de formes quadratiques $I$

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