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Algebraic and analytic geometry of fans
About this Title
Carlos Andradas and Jesús M. Ruiz
Publication: Memoirs of the American Mathematical Society
Publication Year:
1995; Volume 115, Number 553
ISBNs: 978-0-8218-2612-6 (print); 978-1-4704-0132-0 (online)
DOI: https://doi.org/10.1090/memo/0553
MathSciNet review: 1254149
MSC: Primary 14P10; Secondary 12D15, 13F30, 14P15
Table of Contents
Chapters
- Introduction
- 1. Basic and generically basic sets
- 2. The real spectrum
- 3. Algebraic and analytic tilde operators
- 4. Fans and basic sets
- 5. Algebraic fans and analytic fans
- 6. Prime cones and valuations
- 7. Centers of an algebraic fan
- 8. Henselization of algebraic fans
- 9. A going-down theorem, for fans
- 10. Extension of real valuation rings to the henselization
- 11. The amalgamation property
- 12. Algebraic characterization of analytic fans
- 13. Finite coverings associated to a fan
- 14. Geometric characterization of analytic fans
- 15. The fan approximation lemma
- 16. Analyticity and approximation
- 17. Analyticity after birational blowing-down