Algebraic geometry over C[infinity]-rings /

"If X is a manifold then the R-algebra C[infinity](X) of smooth functions C : X [right arrow] R is a C[infinity]-ring. That is, for each smooth function f : Rn [right arrow] R there is an n-fold operation]Phi]f : C[infinity](X)n [right arrow] C[infinity](X) acting by [Phi]f : (c1 ..., cn) [righ...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Joyce, Dominic D. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, RI, USA : American Mathematical Society, [2019]
Colección:Memoirs of the American Mathematical Society ; no. 1256.
Temas:
Differentiable functions.
Smooth affine curves.
Rings (Algebra)
Geometry, Algebraic.
Fonctions différentiables.
Courbes affines lisses.
Anneaux (Algèbre)
Géométrie algébrique.
Geometría algebraica
Anillos (Álgebra)
Funciones diferenciables
Smooth affine curves
Geometry, Algebraic
Differentiable functions
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]
Algebraic geometry > Foundations > Generalizations (algebraic spaces, stacks)
Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} > Linear function spaces and their duals [See also 30H05, 32A38, 46F05] {For function algebras, see 46J10}
Geometry {For algebraic geometry, see 14-XX} > Distance geometry > Synthetic differential geometry.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • C[infinity]-rings
  • The C[infinity]-ring C[infinity](X) of a manifold X
  • C[infinity]-ringed spaces and C[infinity]-schemes
  • Modules over C[infinity]-rings and C[infinity]-schemes
  • C[infinity]-stacks
  • Deligne-Mumford C[infinity]-stacks
  • Sheaves on Deligne-Mumford C[infinity]-stacks
  • Orbifold strata of C[infinity]-stacks.

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