Ten years after the first Rennes international meeting onreal algebraic geometry, the second one looked at thedevelopments in the subject during the intervening decade -see the 6 survey papers listed below. Further contributionsfrom the participants on recent research covered realalgebra and geometry, topology of real algebraic varietiesand 16thHilbert problem, classical algebraic geometry,techniques in real algebraic geometry, algorithms in realalgebraic geometry, semialgebraic geometry, real analyticgeometry.CONTENTS: Survey papers: M. Knebusch: Semialgebraic topologyin the last ten years.- R. Parimala: Algebraic andtopological invariants of real algebraic varieties.-Polotovskii, G.M.: On the classification of decomposingplane algebraic curves.- Scheiderer, C.: Real algebra andits applications to geometry in the last ten years: somemajor developments and results.- Shustin, E.L.: Topology ofreal plane algebraic curves.- Silhol, R.: Moduli problems inreal algebraic geometry.Further contributions by: S. Akbulut and H. King; C.Andradas and J. Ruiz; A. Borobia; L. Br|cker; G.W.Brumfield; A. Castilla; Z. Charzynski and P. Skibinski; M.Coste and M. Reguiat; A. Degtyarev; Z. Denkowska; J.-P.Francoise and F. Ronga; J.M. Gamboa and C. Ueno; D. Gondard-Cozette; I.V. Itenberg; P. Jaworski; A. Korchagin; T.Krasinksi and S. Spodzieja; K. Kurdyka; H. Lombardi; M.Marshall and L. Walter; V.F. Mazurovskii; G. Mikhalkin;T. Mostowski and E. Rannou; E.I. Shustin; N. Vorobjov.
Semi-algebraic topology in the last ten years, M. Knebusch; algebraic and topological invariants of real algebraic varieties, R. Parimala; on the classification of decomposing plane algebraic curves, G.M. Polotovskii; real algebra and its applications to geometry in the last ten years - some major developments and results, C. Scheiderer; topology of real plane algebraic curves, E.L.Shustin; moduli problems in real algebraic geometry, R. Silhol.
Series: Lecture Notes in Mathematics
Number Of Pages: 420
Published: 10th November 1992
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6
Weight (kg): 0.59