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arxiv: math/0209369 · v1 · pith:7O2NUHOSnew · submitted 2002-09-26 · 🧮 math.AC · math.AG

Rings of global sections in two-dimensional schemes

classification 🧮 math.AC math.AG
keywords globalringringssectionstwo-dimensionalconcerncorrectcriterion
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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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