English

Adelic divisors on arithmetic varieties

Algebraic Geometry 2013-03-19 v2

Abstract

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 and Zariski decompositions for arithmetic divisors on arithmetic surfaces, to the case of the adelic arithmetic divisors.

Keywords

Cite

@article{arxiv.1302.1922,
  title  = {Adelic divisors on arithmetic varieties},
  author = {Atsushi Moriwaki},
  journal= {arXiv preprint arXiv:1302.1922},
  year   = {2013}
}

Comments

87 pages

R2 v1 2026-06-21T23:22:57.275Z