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Rings of global sections in two-dimensional schemes

Holger Brenner

math.ACarXiv:math/0209369

Abstract

In this paper we study the ring of global sections of an open subset U=D(I) in Spec A, where A is a two-dimensional noetherian ring. The main concern is to give a geometric criterion when these rings are finitely generated, in order to correct an invalid statement of Schenzel.

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