Zariski decompositions on arithmetic surfaces
classification
🧮 math.AG
math.NT
keywords
arithmeticdecompositionsr-divisorssurfaceszariskicontinuousdevelopestablish
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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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