Algebraic Spaces and Stacks (Colloquium Publications)

Algebraic Spaces and Stacks (Colloquium Publications) (American Mathematical Society Colloquium Publications)

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.
Country USA
Manufacturer American Mathematical Society
Binding Hardcover
EANs 9781470427986
ReleaseDate 0000-00-00

Country	USA
Manufacturer	American Mathematical Society
Binding	Hardcover
EANs	9781470427986
ReleaseDate	0000-00-00

Algebraic Spaces and Stacks (Colloquium Publications) (American Mathematical Society Colloquium Publications)