Zariski decompositions on arithmetic surfaces

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.

81 pages. Rewrite several parts

References in corpus (1)

• Positive degree and arithmetic bigness

Cited by in corpus (2)

• Big arithmetic divisors on the projective spaces over Z
• Explicit computations of Zariski decompositions on P_Z^1