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Rigid Cohomology over Laurent Series Fields

In this monograph, the authors develop a new theory of p-adic cohomology for varieties over Laurent series fields in positive characteristic, based on Berthelot's theory of rigid cohomology. Many major fundamental properties of these cohomology groups are proven, such as finite dimensionality a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Lazda, Christopher (Autor), Pál, Ambrus (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Algebra and Applications, 21
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • First definitions and basic properties
  • Finiteness with coefficients via a local monodromy theorem
  • The overconvergent site, descent, and cohomology with compact support
  • Absolute coefficients and arithmetic applications
  • Rigid cohomology
  • Adic spaces and rigid spaces
  • Cohomological descent
  • Index.