Download or read book Adelic Divisors on Arithmetic Varieties written by Atsushi Moriwaki: and published by American Mathematical Soc.. This book was released on 2016-06-21 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 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.