Abstract
Let \({S}\) be a Dedekind scheme with perfect residue fields at closed points. Let \({f: X\rightarrow S}\) be a minimal regular arithmetic surface of fibre genus at least 2 and let \({f': X'\rightarrow S}\) be the canonical model of \({f}\). It is well known that \({\omega_{X'/S}}\) is relatively ample. In this paper we prove that \({\omega_{X'/S}^{\otimes n}}\) is relatively very ample for all \({n\geq 3}\).
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