Abstract
In this paper, we sketch some constructions providing a link between complex-analytic geometry and nonstandard algebraic geometry via a categorical point of view. The analytic category is seen as a completed fiber of a family of nonstandard algebraic geometries by applying a standard part functor. We indicate how various notions of analytic objects fit into this context (as for example banachanalytic spaces, Kähler spaces etc.)
| Original language | English |
|---|---|
| Pages (from-to) | 1-15 |
| Number of pages | 15 |
| Journal | Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg |
| Volume | 90 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Apr 2020 |
Bibliographical note
Publisher Copyright:© 2020, The Author(s), under exclusive licence to Mathematisches Seminar der Universität Hamburg.
Keywords
- Analytic versus algebraic geometry
- Kähler spaces
- Nonstandard numbers and methods
ASJC Scopus subject areas
- General Mathematics