Berkovich Spaces and Applications

We present an introduction to Berkovich's theory of non-archimedean analytic spaces that emphasizes its applications in various fields. The first part contains surveys of a foundational nature, including an introduction to Berkovich analytic spaces by M. Temkin, and to étale cohomology by A. D...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Ducros, Antoine (Editor ), Favre, Charles (Editor ), Nicaise, Johannes (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Lecture Notes in Mathematics, 2119
Temas:
Algebraic geometry.
Dynamical systems.
Topological groups.
Lie groups.
Algebraic Geometry.
Dynamical Systems.
Topological Groups and Lie Groups.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction to Berkovich analytic spaces
  • Etale cohomology of schemes and analytic spaces
  • Countability properties of Berkovich spaces
  • Cohomological finiteness of proper morphisms in algebraic geometry: a purely transcendental proof, without projective tools
  • Bruhat-Tits buildings and analytic geometry
  • Dynamics on Berkovich spaces in low dimensions
  • Compactifications of spaces of representations (after Culler, Morgan and Shalen).

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