AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Several Complex Variables with Connections to Algebraic Geometry and Lie Groups
About this Title
Joseph L. Taylor, University of Utah, Salt Lake City, UT
Publication: Graduate Studies in Mathematics
Publication Year:
2002; Volume 46
ISBNs: 978-0-8218-3178-6 (print); 978-1-4704-2097-0 (online)
DOI: https://doi.org/10.1090/gsm/046
MathSciNet review: MR1900941
MSC: Primary 32-01; Secondary 14-01, 20-01, 22-01
Table of Contents
Download chapters as PDF
Front/Back Matter
Chapters
- Chapter 1. Selected problems in one complex variable
- Chapter 2. Holomorphic functions of several variables
- Chapter 3. Local rings and varieties
- Chapter 4. The Nullstellensatz
- Chapter 5. Dimension
- Chapter 6. Homological algebra
- Chapter 7. Sheaves and sheaf cohomology
- Chapter 8. Coherent algebraic sheaves
- Chapter 9. Coherent analytic sheaves
- Chapter 10. Stein spaces
- Chapter 11. Fréchet sheaves—Cartan’s theorems
- Chapter 12. Projective varieties
- Chapter 13. Algebraic vs. analytic—Serre’s theorems
- Chapter 14. Lie groups and their representations
- Chapter 15. Algebraic groups
- Chapter 16. The Borel-Weil-Bott theorem