Géométrie algébrique réelle et formes quadratiques : journées S.M.F., Université de Rennes 1, Mai 1981
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Géométrie algébrique réelle et formes quadratiques : journées S.M.F., Université de Rennes 1, Mai 1981
（Lecture notes in mathematics, 959）
Springer-Verlag, 1982
- : Berlin
- : New York
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Description and Table of Contents
Table of Contents
Valuations and real places in the theory of formally real fields.- An introduction to Nash functions.- Real valuation rings and ideals.- Variantes du Nullstellensatz reel et anneaux formellement reels.- 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 - 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 uber einem reell abgeschlossenen Koerper.- 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 l'homologie des surfaces algebriques reelles.- Etude des coupures dans les groupes et corps ordonnes.- Faisceau structural sur le spectre reel 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 d'algebrisation des polyedres est local.
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