Colloquium Publications - American Mathematical Society/Colloquium Publications· 2016
Algebraic Spaces and Stacks
- 222citations
- 2016year
Short summary
This book introduces graduate students and researchers to the theory of algebraic spaces and stacks, building upon foundational concepts in algebraic geometry.
AI-generated from the title and abstract; the full text is not read.
Key points
- Provides foundational background in Grothendieck topologies, descent, and fibered categories.
- Develops the theory of algebraic spaces and stacks.
- Covers advanced topics including the Keel-Mori theorem, gerbes, and moduli stacks.
AI-generated from the title and abstract; the full text is not read.
Abstract
This book is an introduction to the theory of algebraic spaces and stacks intended for graduate students and researchers familiar with algebraic geometry at the level of a first-year graduate course. The first several chapters are devoted to background material including chapters on Grothendieck topologies, descent, and fibered categories. Following this, the theory of algebraic spaces and stacks is developed. The last three chapters discuss more advanced topics including the Keel-Mori theorem on the existence of coarse moduli spaces, gerbes and Brauer groups, and various moduli stacks of curv
The authors' abstract, as published at the source. Colloquium Publications - American Mathematical Society/Colloquium Publications, 2016 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics