Une généralisation du Positivstellensatz pour les corps valués algébriquement clos

DOI10.1016/S0764-4442(00)01637-2zbMath0993.12005OpenAlexW2025288227MaRDI QIDQ4512579

Henri Lombardi

Publication date: 18 November 2001

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(00)01637-2

zbMATH Keywords

semialgebraic geometryalgebraically closed valued fieldeffective Positivstellensatz

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Semialgebraic sets and related spaces (14P10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Valued fields (12J10)

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Valuative Lattices and Spectra ⋮ Valuative dimension, constructive points of view

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