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 |
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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)