Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Vol. 42, No. 2, pp. 443-450 (2001)

Rings of Global Sections in Two-dimensional Schemes

Holger Brenner

Fakultät für Mathematik, Ruhr-Universität Bochum, 44780 Bochum, e-mail:

Abstract: In this paper we study the ring of global sections $\Gamma(U,{\cal O})$ of an open subset $U=D(I) \subseteq Spec A$, 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 in [Sch]. \item{[Sch]} Schenzel, P.: Flatness and Ideal-Transforms of Finite Type. In: Commutative Algebra (ed. W. Bruns, A. Simis), 1988.

Full text of the article:

[Previous Article] [Next Article] [Contents of this Number]
© 2001 ELibM for the EMIS Electronic Edition