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In this work we consider the problem, which adelic metrics on line bundles can be approximated by metrics induced from models. If C is a curve over a local field K, we define and calculate a pullback for vertical cycles on minimal models of C under base extension. It follows that adelic metrics on C, which are given by continuous functions of the reduction graph, can be approximated by line bundles on minimal models of C. Finally we give an analog result for products of curves. |