Abstract
Our purpose is to make a contribution to the foundation of the theory of formal scheme. We are interested particularly in non-Noetherian or non-adic formal schemes, which have been little studied. We redefine the formal scheme as a proringed space and study its basic properties. We also find several examples of non-adic formal schemes.
| Original language | English |
|---|---|
| Pages (from-to) | 2417-2475 |
| Number of pages | 59 |
| Journal | International Mathematics Research Notices |
| Volume | 2009 |
| Issue number | 13 |
| DOIs | |
| Publication status | Published - 2009 |
| Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)