Nonnoetherian coordinate rings with unique maximal depictions
Algebraic Geometry
2017-10-10 v2 Commutative Algebra
Abstract
A depiction of a nonnoetherian integral domain is a special coordinate ring that provides a framework for describing the geometry of . We show that if is noetherian in codimension 1, then has a unique maximal depiction . In this case, the geometric dimensions of the points of may be computed directly from . If in addition has a normal depiction , then is the unique maximal depiction of .
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