Adelic Divisors on Arithmetic Varieties

作者:Moriwaki Atsushi*
来源:Memoirs of the American Mathematical Society, 2016, 242(1144): 1-+.
DOI:10.1090/memo/1144

摘要

In this article, we generalize 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.

  • 出版日期2016-7