Let D be a Noetherian domain of Krull dimension 2, and let HR be integrally closed overrings of D. We examine when H can be represented in the form H=(VSV)nR, with S a Noetherian subspace of the Zariski�Riemann space of the quotient field of D. We characterize also the special case in which S can be chosen to be a finite character collection of valuation overrings of D.
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