FRENCH

Champs algébriques (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics 39)

By Gérard Laumon , Laurent Moret-Bailly

Book information

Publisher
Springer
Year
1999
ISBN
3540657614, 9783540657613
Open Library ID
OL16958742M
Language
french
Format
PDF
Filesize
3 MB (3173714 bytes)
Series
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics 39
Edition
1
Pages
223\223
Orientation
yes
Scanned
yes
Time added
2011-08-31 04:54:40

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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