Real Algebraic Geometry: Proceedings of the Conference held in Rennes, France, June 24-28, 1991 (Lecture Notes in Mathematics, Band 1524) - Softcover

Inhaltsangabe

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.

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