Le théorème des zéros pour les variétés analytiques réelles de dimension $2$

DOI10.24033/asens.1292zbMath0315.14008OpenAlexW2599284179MaRDI QIDQ4075015

Jean-Jacques Risler, Jacek Bochnak

Publication date: 1975

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1975_4_8_3_353_0

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Global ground fields in algebraic geometry (14G25) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (14)

On the Pythagoras numbers of real analytic curves ⋮ Distinguished representations of non-negative polynomials ⋮ Positive semidefinite analytic functions on real analytic surfaces ⋮ Real algebraic geometry and the 17th Hilbert problem ⋮ Analytic surface germs with minimal Pythagoras number ⋮ On equivalence of ideals of real global analytic functions and the 17th Hilbert problem ⋮ On algebraicity of global real analytic sets and functions ⋮ Le théorème des zéros en géométries algébrique et analytique réelles ⋮ On the Pythagoras numbers of real analytic rings ⋮ Weighted sums of squares in local rings and their completions. I ⋮ Weighted sums of squares in local rings and their completions. II ⋮ The Nullstellensatz for real coherent analytic surfaces ⋮ Some remarks on global analytic planar vector fields possessing an invariant analytic set ⋮ On Hilbert's 17th problem and real Nullstellensatz for global analytic functions

Cites Work

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• Primärzerlegung in Steinschen Algebren
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• On sums of squares and on elliptic curves over function fields
• Zur Darstellung definiter Funktionen als Summe von Quadraten. (To the representation of definite functions as the sum of squares)
• Variétés analytiques réelles et variétés analytiques complexes
• Studies in Equisingularity I Equivalent Singularities of Plane Algebroid Curves

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