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. Du...

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Bibliografiske detaljer
Institution som forfatter: SpringerLink (Online service)
Andre forfattere: Ducros, Antoine (Editor), Favre, Charles (Editor), Nicaise, Johannes (Editor)
Format: eBog
Sprog:English
Udgivet: Cham : Springer International Publishing : Imprint: Springer, 2015.
Serier:Lecture Notes in Mathematics, 2119
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Indholdsfortegnelse:
  • 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).