English

Rings of global sections in two-dimensional schemes

Commutative Algebra 2014-11-18 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.math/0209369,
  title  = {Rings of global sections in two-dimensional schemes},
  author = {Holger Brenner},
  journal= {arXiv preprint arXiv:math/0209369},
  year   = {2014}
}

Comments

8 pages, 5 figures

R2 v1 2026-07-22T16:47:57.943Z