FRENCH

Champs algebriques (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics)

By Gérard Laumon , L. Moret-Bailly

Book information

Year
1999
ISBN
3540657614, 9783540657613
Google Books ID
RZOe_4CnWqMC
Open Library ID
OL16958742M
Language
french
Format
DJVU
Filesize
2 MB (2549867 bytes)
Edition
1
Pages
110\110
DPI
300
Scanned
no
Time added
2011-06-04 13:46:07

Description

The theory of algebraic stacks emerged in the late sixties and early seventies in the works of P. Deligne, D. Mumford, and M. Artin. The language of algebraic stacks has been used repeatedly since then, mostly in connection with moduli problems: the increasing demand for an accurate description of moduli "spaces" came from various areas of mathematics and mathematical physics. Unfortunately the basic results on algebraic stacks were scattered in the literature and sometimes stated without proofs. The aim of this book is to fill this reference gap by providing mathematicians with the first systematic account of the general theory of (quasiseparated) algebraic stacks over an arbitrary base scheme. It covers the basic definitions and constructions, techniques for extending scheme-theoretic notions to stacks, Artin's representability theorems, but also new topics such as the "lisse-?tale" topology.

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