Martin Olsson, University of California, Berkeley, CA.
“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
“The book is very carefully written. In the few cases where an
argument is not given in full in the book, a precise reference if
provided. In addition, the author always explains the relation of
his presentation to the existing literature. Hence, the book can
also be used as a guide to the rich literature.” - Annette Huber,
Jahresbericht der Deutschen Mathematiker-Vereinigung
“Graduate students will benefit from the self-contained and
accessible presentation of the entire theory, as well as the
numerous exercises. Researchers will like the comprehensive,
up-to-date treatment of foundations and key results, together with
detailed proofs. Summing up, this is an excellent monograph that
fills a large gap in the literature.” - Stefan Schroer,
Mathematical Reviews
“[T]his is an absolutely unique and excellent textbook on modern,
highly advanced and abstract topics in algebraic geometry, which
has no equal in the current literature, and which finally fills a
long-continued gap therein.” - Werner Kleinert, Zentralblatt MATH
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