000			02254nam a22003137a 4500
003			OSt
005			20240625163150.0
008			230222b |||||||| |||| 00| 0 hin d
020			_a9781470474805
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082	0	0	_a514.74 _bOLS-A
100	1		_aOlsson, Martin
245	1	0	_aAlgebraic spaces and stacks
260			_aRhode Island : _bAmerican Mathematical Society, _c2016
300			_axi, 298p. : _billustrations ; _c26 cm.
490			_aAmerican Mathematical Society colloquium publications ; _vvolume 62
504			_aIncludes bibliographical references (pages 291-293) and index.
520			_aThis 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.
521			_aGraduate students and research mathematicians interested in algebraic spaces and stacks.
650		0	_aAlgebraic spaces.
650		0	_aAlgebraic stacks.
650		7	_aAlgebraic geometry -- Foundations -- Generalizations (algebraic spaces, stacks).
650		7	_aAlgebraic geometry -- Families, fibrations -- Stacks and moduli problems.
650		7	_aAlgebraic geometry -- Families, fibrations -- Fine and coarse moduli spaces.
856			_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/coll-62-toc.pdf?_gl=1*g8qit6*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMxMzI2NC4wLjAuMA..
856			_3Reviews _uhttps://www.goodreads.com/book/show/200591742-algebraic-spaces-and-stacks?ref=nav_sb_ss_1_13#CommunityReviews
942			_cBK _2udc
999			_c35051 _d35051