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arXiv · 0911.2951

Zariski decompositions on arithmetic surfaces

Atsushi Moriwaki
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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.

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Atsushi Moriwaki. 2011-01-25. Zariski decompositions on arithmetic surfaces. https://arxiv.org/abs/0911.2951

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