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Algebraic Spaces and Stacks

Name: Algebraic Spaces and Stacks
Brand: American Mathematical Society
SKU: 49573642
Price: 120.99 EUR
Availability: InStock
Author: Martin Olsson
ISBN: 9781470474805

Martin Olsson

Language

English

Book Paperback

Publishers American Mathematical Society, January 2016

This book is an introduction to the theory of algebraic spaces and stacks intended for graduate stud... Full description

Libristo code: 49573642

296 b

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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. Numerous exercises are included in each chapter ranging from routine verifications to more difficult problems, and a glossary of necessary category theory is included as an appendix.