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Algebraic Spaces and Stacks
About this Title
Martin Olsson, University of California, Berkeley, Berkeley, CA
Publication: Colloquium Publications
Publication Year:
2016; Volume 62
ISBNs: 978-1-4704-2798-6 (print); 978-1-4704-2865-5 (online)
DOI: https://doi.org/10.1090/coll/062
MathSciNet review: MR3495343
MSC: Primary 14D23; Secondary 14D22
Table of Contents
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Front/Back Matter
Chapters
- Introduction
- Chapter 1. Summary of background material
- Chapter 2. Grothendieck topologies and sites
- Chapter 3. Fibered categories
- Chapter 4. Descent and the stack condition
- Chapter 5. Algebraic spaces
- Chapter 6. Invariants and quotients
- Chapter 7. Quasi-coherent sheaves on algebraic spaces
- Chapter 8. Algebraic stacks: Definitions and basic properties
- Chapter 9. Quasi-coherent sheaves on algebraic stacks
- Chapter 10. Basic geometric properties and constructions for stacks
- Chapter 11. Coarse moduli spaces
- Chapter 12. Gerbes
- Chapter 13. Moduli of curves
- Appendix A. Glossary of category theory