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OverviewIn this article, the author generalizes several fundamental results for arithmetic divisors, such as the continuity of the volume function, the generalized Hodge index theorem, Fujita's approximation theorem for arithmetic divisors, Zariski decompositions for arithmetic divisors on arithmetic surfaces and a special case of Dirichlet's unit theorem on arithmetic varieties, to the case of the adelic arithmetic divisors. Full Product DetailsAuthor: Atsushi MoriwakiPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.206kg ISBN: 9781470419264ISBN 10: 1470419262 Pages: 122 Publication Date: 30 June 2016 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction Preliminaries Adelic $\mathbb{R}$-Cartier Divisors over a Discrete Valuation Field Local and Global Density Theorems Adelic Arithmetic $\mathbb{R}$-Cartier Divisors Continuity of the Volume Function} Zariski Decompositions of Adelic Arithmetic Divisors on Arithmetic Surfaces Characterization of Nef Adelic Arithmetic Divisors on Arithmetic Surfaces Dirichlet's unit Theorem for Adelic Arithmetic Divisors Appendix A. Characterization of Relatively Nef Cartier Divisors Bibliography Subject Index Symbol IndexReviewsAuthor InformationAtsushi Moriwaki, Kyoto University, Japan. Tab Content 6Author Website:Countries AvailableAll regions |
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