{"product_id":"espaces-de-berkovich-globaux-von-thibaud-lemanissier-und-jerome-poineau","title":"Espaces de Berkovich Globaux","description":"\n                                \n                \u003cp\u003e\n                                        Cet ouvrage propose une contribution aux fondements de la théorie des espaces de Berkovich globaux. Cette approche récente à la géométrie analytique, qui mêle les théories classiques des espaces analytiques complexes et \n                    \n                    \u003ci\u003ep\u003c\/i\u003e\n                                        -adiques, fournit un cadre géométrique naturel pour plusieurs théories arithmétiques, telle que la théorie d’Arakelov. Les auteurs suivent trois axes principaux, inexplorés au-delà de la dimension 1 : catégorie, topologie et cohomologie. En particulier, ils introduisent une notion de domaine affinoïde surconvergent, pour lequel sont valables les analogues des théorèmes de Tate et de Kiehl.\n                \n                \u003c\/p\u003e\n                                \n                \u003cp\u003e\n                                        \n                    \u003cbr\u003e\n                                    \n                \u003c\/p\u003e\n                                \n                \u003cp\u003e\u003c\/p\u003e\n                                This monograph contributes to the foundations of the theory of global Berkovich spaces. This recent approach of analytic geometry, which blends the known theories of complex and \n                \n                \u003ci\u003ep\u003c\/i\u003e\n                                -adic analytic spaces, provides a natural geometric framework for several arithmetic theories, such as Arakelov geometry. The authors focus on three main themes which have yet to be investigated beyond dimension 1 : category, topology, and cohomology. In particular, they introduce a notion of overconvergent affinoid domain where the analogues of Tate's and Kiehl's theorems hold.\n                \n                \u003cp\u003e\u003c\/p\u003e\n                                \n                \u003cbr\u003e\n                                \n                \u003cp\u003e\u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783031565038\"\u003e\u003ch3\u003eCatégorie, Topologie, Cohomologie\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Hardcover - 9783031565038","offer_id":48478608294213,"sku":"9783031565038","price":121.7,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/71f80314-a0d6-443e-aa69-0d815c97eaf3.jpg?v=1776227150","url":"https:\/\/shop.autorenwelt.de\/products\/espaces-de-berkovich-globaux-von-thibaud-lemanissier-und-jerome-poineau","provider":"Autorenwelt Shop","version":"1.0","type":"link"}