Krull dimensions of rings of holomorphic functions
Commutative Algebra
2015-12-31 v3 Complex Variables
Abstract
We prove that the Krull dimension of the ring of holomorphic functions of a connected complex manifold is at least continuum if it is positive.
Cite
@article{arxiv.1512.04647,
title = {Krull dimensions of rings of holomorphic functions},
author = {Michael Kapovich},
journal= {arXiv preprint arXiv:1512.04647},
year = {2015}
}
Comments
6 pages. An error pointed out by Pete Clark is corrected. The stronger statement about the Krull dimension at least continuum is proven