Berkovich Spaces and Applications (Lecture Notes in Mathematics #2119) (Paperback)
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Description
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).