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Record Nr. |
UNISA996202187503316 |
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Titolo |
Berkovich Spaces and Applications [[electronic resource] /] / edited by Antoine Ducros, Charles Favre, Johannes Nicaise |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
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ISBN |
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Edizione |
[1st ed. 2015.] |
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Descrizione fisica |
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1 online resource (XIX, 413 p. 18 illus.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 2119 |
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Disciplina |
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Soggetti |
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Algebraic geometry |
Dynamics |
Ergodic theory |
Topological groups |
Lie groups |
Algebraic Geometry |
Dynamical Systems and Ergodic Theory |
Topological Groups, Lie Groups |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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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Sommario/riassunto |
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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. Ducros, as well as a short note by C. Favre on the topology of some Berkovich spaces. The second part focuses on applications to geometry. A second text by A. Ducros contains a new proof of the fact that the higher direct images of a coherent sheaf |
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