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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Carchedi, David Joseph (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, RI : American Mathematical Society, [2020]
Colección:Memoirs of the American Mathematical Society ; no. 1282.
Temas:
Toposes.
Categories (Mathematics)
Orbifolds.
Topos (Mathématiques)
Catégories (Mathématiques)
Categorías (Matemáticas)
Topos (Matemáticas)
Orbifolds
Toposes
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.
Algebraic geometry > Families, fibrations > Stacks and moduli problems.
Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15} > General theory of differentiable manifolds [See also 32Cxx]
Acceso en línea:Texto completo
Descripción
Sumario: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,
Notas:"March 2020, volume 264, number 1282 (fifth of 6 numbers)."
Descripción Física:1 online resource (v, 120 pages)
Bibliografía:Includes bibliographical references.
ISBN:9781470458102
1470458101

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