Le théorème des zéros en géométries algébrique et analytique réelles

DOI10.24033/bsmf.1819zbMath0328.14001OpenAlexW4248937314MaRDI QIDQ4093563

Jean-Jacques Risler

Publication date: 1976

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1976__104__113_0

Mathematics Subject Classification ID

Real-analytic functions (26E05) Relevant commutative algebra (14A05) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (21)

Positive semidefinite analytic functions on real analytic surfaces ⋮ Algebraic and analytic finite spaces of orderings. ⋮ Derivations and invariant real ideals ⋮ On Prime Ideals in Rings of Semialgebraic Functions ⋮ Some results on global real analytic geometry ⋮ Central Nullstellensätze in real analytic geometry ⋮ Local observability of nonlinear systems ⋮ Continuous functions on the plane regular after one blowing-up ⋮ On the finiteness of accessibility test for nonlinear discrete-time systems ⋮ A Nullstellensatz for Łojasiewicz ideals ⋮ On the finiteness of Pythagoras numbers of real meromorphic functions ⋮ Invariant curves and topological invariants for real plane analytic vector fields ⋮ Familles de courbes sur les germes d'espaces analytiques ⋮ Le théorème des zéros pour les idéaux de fonctions différentiables en dimension 2 et 3 ⋮ Integral closure of ideals and equisingularity ⋮ On singularities of real algebraic sets and applications to kinematics ⋮ Local observability of systems on time scales ⋮ Some remarks on global analytic planar vector fields possessing an invariant analytic set ⋮ Determining the number and structure of phylogenetic invariants. ⋮ On Hilbert's 17th problem and real Nullstellensatz for global analytic functions ⋮ A measure of integrity for local analytic algebras

Cites Work

• Faisceaux algébriques cohérents
• Further remarks on ordered fields and definite functions
• Le théorème des zéros pour les idéaux de fonctions différentiables en dimension 2 et 3
• Sur le théorème des zéros de Hilbert 'différentiable'
• Local reality on algebraic varieties
• Introduction to the theory of analytic spaces
• On the solutions of analytic equations
• A nullstellensatz for ordered fields
• Ideaux de l'anneau des séries formelles à coefficients réels et variétés associees
• Le théorème des zéros pour les variétés analytiques réelles de dimension $2$
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