Linking complex analytic to nonstandard algebraic geometry

被引：0
|
作者：
Adel Khalfallah
Siegmund Kosarew
机构：
[1] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
[2] Université Grenoble Alpes,Institut Fourier
来源：
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg | 2020年 / 90卷
关键词：
Analytic versus algebraic geometry; Nonstandard numbers and methods; Kähler spaces; 32-02; 32C15; 14A20; 32Q15;
D O I：
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中图分类号：
学科分类号：
摘要：
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.)
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页码：1 / 15
页数：14
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