Martin Olsson 
Algebraic Spaces and Stacks [PDF ebook] 

Sokongan

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

€136.69
cara bayaran
Beli ebook ini dan dapatkan 1 lagi PERCUMA!
Format PDF ● Halaman-halaman 298 ● ISBN 9781470428655 ● Penerbit American Mathematical Society ● Muat turun 3 kali ● Mata wang EUR ● ID 9193935 ● Salin perlindungan Adobe DRM
Memerlukan pembaca ebook yang mampu DRM

Lebih banyak ebook daripada pengarang yang sama / Penyunting

48,927 Ebooks dalam kategori ini