Some practical tools for algebraic geometry

Chapters in this book

1. I-IV I
2. Introduction V
3. Algebraic versus analytic basicness 1
4. Notes on the space of real places of a formally real field 21
5. On real holomorphy rings 47
6. Some practical tools for algebraic geometry 67
7. Thorn’s first isotopy lemma: a semialgebraic version, with uniform bound 83
8. Lattice-ordered rings and semialgebraic geometry: I 103
9. Bounds for the number of connected components of a family of differentiable manifolds 131
10. Voronoi computability in SΕ (3) 137
11. On the Gabrielov theorem for subpfaffian sets 149
12. Groups of monodromy of non-singular curves of degree 6 161
13. Blowing-up construction of maximal smoothings of real plane curve singularities 169
14. Linear bounds for resolutions of 1-boundaries in subanalytic sets 189
15. Stewart platforms without computer? 197
16. Construction of real algebraic nodal plane curves with given topology 213
17. Purity theorems for real spectra and applications 229
18. Geometry of subanalytic and semialgebraic sets: abstract 251
19. On good points and a new canonical algorithm of resolution of singularities 277
20. List of Contributors 293
21. List of Participants 295