Algebraic Spaces and Stacks is popular PDF and ePub book, written by Martin Olsson in 2023-09-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Algebraic Spaces and Stacks can be Read Online from any device for your convenience.
Algebraic Spaces and Stacks Book PDF Summary
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. It is splendid to have a self-contained treatment of stacks, written by a leading practitioner. Finally we have a reference where one can find careful statements and proofs of many of the foundational facts in this important subject. Researchers and students at all levels will be grateful to Olsson for writing this book. —William Fulton, University of Michigan This is a carefully planned out book starting with foundations and ending with detailed proofs of key results in the theory of algebraic stacks. —Johan de Jong, Columbia University
Detail Book of Algebraic Spaces and Stacks PDF
- Author : Martin Olsson
- Release : 15 September 2023
- Publisher : American Mathematical Society
- ISBN : 9781470474805
- Genre : Mathematics
- Total Page : 313 pages
- Language : English
- PDF File Size : 18,5 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Algebraic Spaces and Stacks by Martin Olsson, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.