This book contains the proceedings of the Real Algebraic Geometry-Topology Conference, held at Michigan State University in December 1993. Presented here are recent results and discussions of new ideas pertaining to such topics as resolution theorems, algebraic structures, topology of nonsingular real algebraic sets, and the distribution of real algebraic sets in projective space.

Readership

Research mathematicians and graduate students.

Table of Contents

• A. Degtyarev -- Vanishing of characteristic classes of a real algebraic variety
• K. H. Dovermann -- Equivariant algebraic realization of smooth manifolds and vector bundles
• K. H. Dovermann -- One fixed point actions on spheres (appendix)
• R. Silhol -- A numerical approach to defining a Legendre map in genus 2
• I. Itenberg -- Counter-examples to Ragsdale conjecture and \(T\)-curves
• G. Mikhalkin -- Surfaces of small genus in connected sums of \(\mathbb CP^2\) and real algebraic curves with many nests in \(\mathbb RP^2\)
• J. W. Havlicek -- On spaces of holomorphic maps from two copies of the Riemann sphere to complex Grassmannians
• J. Huisman -- A real algebraic vector bundle is strongly algebraic whenever its total space is affine
• Y. Ozan -- Real algebraic principal abelian fibrations
• H. C. King -- Resolving singularities of maps
• S. Akbulut and H. King -- On algebraic vector bundles