Integral closure of 1-dimensional rings
Commutative Algebra
2026-01-29 v2
Abstract
We study certain properties of modules over 1-dimensional local integral domains. First, we examine the order of the conductor ideal and its expected relationship with multiplicity. Next, we investigate the reflexivity of certain colength-two ideals. Finally, we consider the freeness problem of the absolute integral closure of a DVR, and connect this to the reflexivity problem of .
Cite
@article{arxiv.2503.01640,
title = {Integral closure of 1-dimensional rings},
author = {Mohsen Asgharzadeh},
journal= {arXiv preprint arXiv:2503.01640},
year = {2026}
}