Real Analytic and Algebraic Geometry: Proceedings of the Conference held in Trento, Italy, October 3-7, 1988: Lecture Notes in Mathematics, cartea 1420

A note on the real spectrum of analytic functions on an analytic manifold of dimension one.- Two bounds for the number of connected components of a real algebraic set.- Strongly algebraic vector bundles over ?d.- Local resolution of singularities.- On vector bundles and real algebraic morphisms.- On the stability index of noetherian rings.- Real parts of complex algebraic curves.- Sous-ensembles algébriques réels de codimension 2.- Real abelian varieties and the singularities of an integrable Hamiltonian system.- Chainable fields and real algebraic geometry.- Shape invariant lists and realization as plane real algebraic curves with doublepoints.- Moyennes des fonctions sous-analytiques, densite, cone tangent et tranches.- Nullstellensätze; conjectures and counterexamples.- Sur un théoreme de cheponkus.- Isotopies and non-recursive functions in real algebraic geometry.- Slices: Functions for abstract real analysis.- Complexity of the computation of cylindrical decomposition and topology of real algebraic curves using Thom's lemma.- On the topology of global semianalytic sets.- Piecewise linearization of subanalytic functions II.- Classification birationnelle des surfaces rationnelles reelles.- Sur les racines d'un polynome a coefficients series formelles.