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.
| ISBN: | 9781470419264 |
| Publication date: | 30th June 2016 |
| Author: | Atsushi Moriwaki |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 122 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Algebraic geometry Algebra |