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Linking complex analytic to nonstandard algebraic geometry
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg ( IF 0.4 ) Pub Date : 2020-04-01 , DOI: 10.1007/s12188-020-00216-w
Adel Khalfallah , Siegmund Kosarew

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.)

中文翻译:

将复杂解析与非标准代数几何联系起来

在本文中,我们通过分类的观点勾勒出一些构造,在复解析几何和非标准代数几何之间提供了联系。通过应用标准零件函子,解析类别被视为一系列非标准代数几何的完整纤维。我们指出了分析对象的各种概念如何适应这种情况(例如巴纳查分析空间、凯勒空间等)
更新日期:2020-04-01
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