Zariski decompositions on arithmetic surfaces

Details Zariski decompositions on arithmetic surfaces Zariski decompositions on arithmetic surfaces

2009-11-16

arxiv.org/abs/0911.2951v4

Mathematics

Algebraic Geometry

81 pages. Rewrite several parts

Scientific paper

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.

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