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TitleGรฉomรฉtrie Algรฉbrique Rรฉelle et Formes Quadratiques [electronic resource] : Journรฉes S.M.F., Universitรฉ de Rennes 1, Mai 1981 / edited by Jean-Louis Colliot-Thรฉlรจne, Michel Coste, Louis Mahรฉ, Marie-Franรงoise Roy
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1982
Connect tohttp://dx.doi.org/10.1007/BFb0062247
Descript XII, 460 p. online resource

CONTENT

Valuations and real places in the theory of formally real fields -- An introduction to Nash functions -- Real valuation rings and ideals -- Variantes du Nullstellensatz rรฉel et anneaux formellement rรฉels -- Ensembles semi-algebriques -- The real holomorphy ring and sums of 2n-th powers -- On certain topological spaces admitting strongly coherent real algebraic structure -- Remarks and counterexamples in the theory of real algebraic vector bundles and cycles -- Topology of real analytic sets โ{128}{148} Some open problems -- The divisor class groups of some rings of global real analytic, Nash or rational regular functions -- Real spectra and distributions of signatures -- Transversal zeros and positive semidefinite forms -- Zur Theorie der semialgebraischen Wege und Intervalle รผber einem reell abgeschlossenen Kรถrper -- Subordinate structure sheaves -- The extension theorem for Nash functions -- Separation des composantes connexes reelles dans le cas des varietes projectives -- On real one-dimensional cycles -- Sur lโ{128}{153}homologie des surfaces algรจbriques rรฉelles -- Etude des coupures dans les groupes et corps ordonnes -- Faisceau structural sur le spectre rรฉel et fonctions de Nash -- Real holomorphy rings in real algebraic geometry -- A bound on the order of H n?1 (a) (X, ZZ / 2) on a real algebraic variety -- Le probleme dโ{128}{153}algebrisation des polyedres est local


Mathematics Algebraic geometry Mathematics Algebraic Geometry



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