Cet ouvrage propose une contribution aux fondements de la th???orie des espaces de Berkovich globaux. Cette approche r???cente ??? la g???om???trie analytique, qui m???le les th???ories classiques des espaces analytiques complexes et p-adiques, fournit un cadre g???om???trique naturel pour plusieurs th???ories arithm???tiques, telle que la th???orie d'Arakelov. Les auteurs suivent trois axes principaux, inexplor???s au-del??? de la dimension 1 : cat???gorie, topologie et cohomologie. En particulier, ils introduisent une ...
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Cet ouvrage propose une contribution aux fondements de la th???orie des espaces de Berkovich globaux. Cette approche r???cente ??? la g???om???trie analytique, qui m???le les th???ories classiques des espaces analytiques complexes et p-adiques, fournit un cadre g???om???trique naturel pour plusieurs th???ories arithm???tiques, telle que la th???orie d'Arakelov. Les auteurs suivent trois axes principaux, inexplor???s au-del??? de la dimension 1 : cat???gorie, topologie et cohomologie. En particulier, ils introduisent une notion de domaine affino???de surconvergent, pour lequel sont valables les analogues des th???or???mes de Tate et de Kiehl. 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 p-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.
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Fine. Text in French. Progress in Mathematics . XI, 289 p. Intended for professional and scholarly audience. Language: french-In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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New. Text in French. Progress in Mathematics . XI, 289 p. Intended for professional and scholarly audience. Language: french-In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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Fine. Text in French. Progress in Mathematics . XI, 289 p. Intended for professional and scholarly audience. Language: french-In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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New. Text in French. Progress in Mathematics . XI, 289 p. Intended for professional and scholarly audience. Language: french-In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.