Algebraic spaces and stacks
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Author
Publication
2016 - American Mathematical Society, Providence, Rhode Island, Rhode Island
Language
English
Word Count
74,500 words, Guess
Page Count
298 pages
Identifiers
- Open LibraryOL30401727M
- ISBN-139781470427986
- OCLC Control Number928889248
- Library of Congress Control Number2015043394
Classifications
- DDC516.3/5
- LCCQA564 .O578 2016
Description
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 curves.
Subjects
Topics
Series Statement
- American Mathematical Society colloquium publications -- volume 62
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