Geometrie algebrique reelle et formes quadratiques - Journees S.M.F., Universite de Rennes 1, Mai 1981

List 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 réel et anneaux formellement réels.- 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 über einem reell abgeschlossenen Körper.- 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 algèbriques réelles.- Etude des coupures dans les groupes et corps ordonnes.- Faisceau structural sur le spectre réel 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.

Product details

• Assisted by: J. -L. Colliot-Thelene (Editor), J.-L. Colliot-Thelene (Editor), M. Coste (Editor), L. Mahe (Editor), Louis Mahe (Editor), M. -F. Roy (Editor), M.-F. Roy (Editor)
• Publisher: Springer, Berlin
• Languages: English, French, German
• Product format: Paperback / Softback
• Released: 29.06.2009
• EAN: 9783540119593
• ISBN: 978-3-540-11959-3
• No. of pages: 460
• Dimensions: 156 mm x 237 mm x 25 mm
• Weight: 740 g
• Illustrations: XII, 460 p.
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra