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＜電子ブック＞
Champs algébriques / by Gérard Laumon, L. Moret-Bailly
(Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics. ISSN:21975655 ; 39)

版	1st ed. 2000.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	2000
本文言語	フランス語
大きさ	XII, 208 p : online resource
冊子体	Champs algébriques / Gérard Laumon, Laurent Moret-Bailly
著者標目	*Laumon, Gérard author Moret-Bailly, L author SpringerLink (Online service)
件　名	LCSH:Algebraic geometry FREE:Algebraic Geometry
一般注記	Introduction -- La catégorie des S-espaces et sa sous-catégorie strictement pleine des S-espaces algébriques -- La 2-catégorie des S-groupoides -- La sous-2-catégorie strictement pleine des S-champs dans (Gr/S) -- La 2-catégorie des S-champs algébriques -- Points d'un S-champ algébrique; topologie de Zariski -- Quelques résultats de structure locale.-Critères valuatifs; morphismes universellement fermés, morphismes séparés, morphismes propres -- Caractérisation des espaces algébriques et des champs de Deligne-Mumford -- Parenthèse sur les topologies plates -- Les critères d'Artin pour qu'un S-champ soit algébrique -- Points algébriques, faisceaux résiduels, gerbes résiduelles, dimension -- Faisceaux sur le site lisse-étale d'un S-champ algébrique -- Modules quasi-cohérents sur un S-champ algébrique -- Constructions locales -- Modules cohérents sur les S-champs algébriques localement noethériens..... 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-étale" topology Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-3-540-24899-6

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