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Espaces de Berkovich Globaux: Catégorie, Topologie, Cohomologie
Hardcover
Series: Progress in Mathematics, Book 353
ISBN13: 9783031565038
Publisher: Birkhauser
Published: Apr 6 2024
Pages: 289
Weight: 1.31
Height: 0.69 Width: 6.14 Depth: 9.21
Language: French
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 p-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.
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