English

Zariski decompositions on arithmetic surfaces

Algebraic Geometry 2011-01-26 v4 Number Theory

Abstract

In this paper, we establish the Zariski decompositions of arithmetic R-divisors of continuous type on arithmetic surfaces and investigate several properties. We also develop the general theory of arithmetic R-divisors on arithmetic varieties.

Keywords

Cite

@article{arxiv.0911.2951,
  title  = {Zariski decompositions on arithmetic surfaces},
  author = {Atsushi Moriwaki},
  journal= {arXiv preprint arXiv:0911.2951},
  year   = {2011}
}

Comments

81 pages. Rewrite several parts

R2 v1 2026-06-21T14:12:00.035Z