Rings of global sections in two-dimensional schemes

Details Rings of global sections in two-dimensional schemes Rings of global sections in two-dimensional schemes

2002-09-26

arxiv.org/abs/math/0209369v1

Beitraege zur Algebra und Geometrie, Vol. 42, No. 2, 443-450 (2001)

Mathematics

Commutative Algebra

8 pages, 5 figures

Scientific paper

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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