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Real Algebraic Geometry

Proceedings of the Conference held in Rennes, France, June 24-28, 1991

Michel Coste, Louis Mahe, Marie-Francoise Roy (Herausgeber)

Buch | Softcover

VIII, 420 Seiten

1992
Springer Berlin (Verlag)
978-3-540-55992-4 (ISBN)

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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.

Semialgebraic topology in the last ten years.- Algebraic geometric methods in real algebraic geometry.- On the classification of decomposing plane algebraic curves.- Real algebra and its applications to geometry in the last ten years: Some major developments and results.- Topology of real plane algebraic curves.- Moduli problems in real algebraic geometry.- Constructing strange real algebraic sets.- More on basic semialgebraic sets.- Mirror property for nonsingular mixed configurations of one line and k points in R3.- Families of semialgebraic sets and limits.- A hopf fixed point theorem for semi-algebraic maps.- On regular open semi-algebraic sets.- Sums of 2n-th powers meromorphic functions with compact zero set.- Pseudoorthogonality of powers of the coordinates of a holomorphic mapping in two variables with the constant Jacobian.- Trivialités en famille.- Stiefel orientations on a real algebraic variety.- Subanaliticity and the second part of Hilbert's 16th problem.- The decidability of real algebraic sets by the index formula.- Proper polynomial maps: The real case.- Sur les ordres de niveau 2n et sur une extension du 17ème probleme de Hilbert.- Curves of degree 6 with one non-degenerate double point and groups of monodromy of non-singular curves.- The 17-th Hilbert problem for noncompact real analytic manifolds.- Construction of new M-curves of 9-th degree.- On linear differential operators related to the n-dimensional jacobian conjecture.- On a subanalytic stratification satisfying a Whitney property with exponent 1.- Une borne sur les degres pour le theoreme des zeros reel effectif.- Minimal generation of basic semi-algebraic sets over an arbitrary ordered field.- Configurations of at most 6 lines of ?P 3.- Extensions of Rokhlin congruence for curves onsurfaces.- Complexité de la construction des strates à multiplicité constante d'un ensemble algébrique de ?n.- Real plane algebraic curves with many singularities.- Effective stratification of regular real algebraic varieties.

Erscheint lt. Verlag	10.11.1992
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VIII, 420 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	643 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Algebraic Curve • Algebraic Geometry • Algebraic Varieties • Dimension • real algebraic geometry • real analytic geometry • Tiefe
ISBN-10	3-540-55992-2 / 3540559922
ISBN-13	978-3-540-55992-4 / 9783540559924
Zustand	Neuware