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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| その他の著者: | , , |
| フォーマット: | eBook |
| 言語: | English |
| 出版事項: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| シリーズ: | Lecture Notes in Mathematics,
2119 |
| 主題: | |
| オンライン･アクセス: | Click here to view the full text content |
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目次:
- 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).