English

Nonnoetherian coordinate rings with unique maximal depictions

Algebraic Geometry 2017-10-10 v2 Commutative Algebra

Abstract

A depiction of a nonnoetherian integral domain RR is a special coordinate ring that provides a framework for describing the geometry of RR. We show that if RR is noetherian in codimension 1, then RR has a unique maximal depiction TT. In this case, the geometric dimensions of the points of SpecR\operatorname{Spec}R may be computed directly from TT. If in addition RR has a normal depiction SS, then SS is the unique maximal depiction of RR.

Keywords

Cite

@article{arxiv.1608.00926,
  title  = {Nonnoetherian coordinate rings with unique maximal depictions},
  author = {Charlie Beil},
  journal= {arXiv preprint arXiv:1608.00926},
  year   = {2017}
}

Comments

15 pages. To appear, Communications in Algebra

R2 v1 2026-06-22T15:10:21.550Z