Real Algebraic Geometry

Ten years after the first Rennes international meeting on
real algebraic geometry, the second one looked at the
developments in the subject during the intervening decade -
see the 6 survey papers listed below. Further contributions
from the participants on recent research covered real
algebra and geometry, topology of real algebraic varieties
and 16thHilbert problem, classical algebraic geometry,
techniques in real algebraic geometry, algorithms in real
algebraic geometry, semialgebraic geometry, real analytic
geometry.
CONTENTS: Survey papers: M. Knebusch: Semialgebraic topology
in the last ten years.- R. Parimala: Algebraic and
topological invariants of real algebraic varieties.-
Polotovskii, G.M.: On the classification of decomposing
plane algebraic curves.- Scheiderer, C.: Real algebra and
its applications to geometry in the last ten years: some
major developments and results.- Shustin, E.L.: Topology of
real plane algebraic curves.- Silhol, R.: Moduli problems in
real 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.