连通复流形上全纯函数环的 Krull 维数
交换代数
2015-12-31 v3 复变函数
摘要
我们证明了连通复流形的全纯函数环的 Krull 维数若为正数，则至少为连续统。
引用
@article{arxiv.1512.04647,
title = {Krull dimensions of rings of holomorphic functions},
author = {Michael Kapovich},
journal= {arXiv preprint arXiv:1512.04647},
year = {2015}
}
备注
6 pages. An error pointed out by Pete Clark is corrected. The stronger statement about the Krull dimension at least continuum is proven