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Higher orbifolds and Deligne-Mumford stacks as structured infinity-topoi /
The author develops a universal framework to study smooth higher orbifolds on the one hand and higher Deligne-Mumford stacks (as well as their derived and spectral variants) on the other, and use this framework to obtain a completely categorical description of which stacks arise as the functor of po...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
[2020]
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1282. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
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| 100 | 1 | |a Carchedi, David Joseph, |e author. | |
| 245 | 1 | 0 | |a Higher orbifolds and Deligne-Mumford stacks as structured infinity-topoi / |c David Joseph Carchedi. |
| 264 | 1 | |a Providence, RI : |b American Mathematical Society, |c [2020] | |
| 264 | 4 | |c ©2020 | |
| 300 | |a 1 online resource (v, 120 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society ; |v number 1282 | |
| 500 | |a "March 2020, volume 264, number 1282 (fifth of 6 numbers)." | ||
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a Cover -- Title page -- Chapter 1. Introduction -- 1.1. Overview of our approach -- 1.2. Organization and Main Results -- 1.3. Conventions and Notations -- Acknowledgments -- Chapter 2. Preliminaries on higher topos theory -- 2.1. The epi-mono factorization system -- 2.2. Grothendieck topologies -- 2.3. Sheaves on ı-categories of ı-topoi. -- 2.4. The (ı,2)-category of ı-topoi. -- Chapter 3. Local Homeomorphisms and Étale Maps of ı-Topoi -- 3.1. Topoi as Generalized Spaces -- 3.2. Local homeomorphisms, sheaves, and étale maps -- 3.3. The étale topology on ı-topoi. | |
| 505 | 8 | |a Chapter 4. Structured ı-Topoi -- 4.1. Structure Sheaves and Classifying Topoi -- 4.2. Geometries and Geometric Structures -- 4.3. Étale Morphisms of Structured ı-Topoi -- Chapter 5. Étendues: Gluing Local Models -- 5.1. Étendues -- 5.2. The functor of points approach -- 5.3. A classification of the functor of points. -- Chapter 6. Examples -- 6.1. Higher Differentiable Orbifolds and Étale Stacks -- 6.2. Deligne-Mumford Stacks for a Geometry -- Bibliography -- Back Cover | |
| 520 | |a The author develops a universal framework to study smooth higher orbifolds on the one hand and higher Deligne-Mumford stacks (as well as their derived and spectral variants) on the other, and use this framework to obtain a completely categorical description of which stacks arise as the functor of points of such objects. He chooses to model higher orbifolds and Deligne-Mumford stacks as infinity-topoi equipped with a structure sheaf, thus naturally generalizing the work of Lurie, but his approach applies not only to different settings of algebraic geometry such as classical algebraic geometry, | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Toposes. | |
| 650 | 0 | |a Categories (Mathematics) | |
| 650 | 0 | |a Orbifolds. | |
| 650 | 6 | |a Topos (Mathématiques) | |
| 650 | 6 | |a Catégories (Mathématiques) | |
| 650 | 6 | |a Orbifolds. | |
| 650 | 7 | |a Categorías (Matemáticas) |2 embne | |
| 650 | 0 | 7 | |a Topos (Matemáticas) |2 embucm |
| 650 | 7 | |a Categories (Mathematics) |2 fast | |
| 650 | 7 | |a Orbifolds |2 fast | |
| 650 | 7 | |a Toposes |2 fast | |
| 650 | 7 | |a Category theory; homological algebra {For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for. |2 msc | |
| 650 | 7 | |a Algebraic geometry |x Families, fibrations |x Stacks and moduli problems. |2 msc | |
| 650 | 7 | |a Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15} |x General theory of differentiable manifolds [See also 32Cxx] |2 msc | |
| 758 | |i has work: |a Higher orbifolds and Deligne-Mumford stacks as structured infinity-topoi (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGFDbQVqjpKxh6tmVFxmBd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: Carchedi, David Joseph. |t Higher orbifolds and Deligne-Mumford stacks as structured infinity-topoi. |d Providence, RI : American Mathematical Society, [2020] |z 9781470441449 |w (DLC) 2020024075 |w (OCoLC)1142523882 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1282. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=6195971 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH38606876 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL6195971 | ||
| 938 | |a EBSCOhost |b EBSC |n 2472231 | ||
| 938 | |a YBP Library Services |b YANK |n 301274581 | ||
| 994 | |a 92 |b IZTAP | ||