Real Algebraic Geometry: Proceedings of the Conference Held in Rennes, France, June 24-28, 1991

ISBN-13: 9783540559924 / Angielski / Miękka / 1992 / 420 str.

Michel Coste; Louis Mahe; Marie-Francoise Roy

Opis

The proceedings of a conference on real algebraic geometry, which examines such issues as the topology of real algebraic varieties, classical algebraic geometry, algorithms and techniques, semialgebraic geometry and real analytical geometry.

Spis treści

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 on surfaces.- 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.