论文标题

基本示意图几何

Elementary schematic geometry

论文作者

Alexandre, Thiago

论文摘要

本文揭示了几何环境和基本方案的语言,这是研究几何对象的类别,例如方案,拓扑流形,差异歧管,分析歧管等。

This paper exposes the language of geometric contexts and elementary schemes, which is a functorial formalism to study categories of geometric objects such as schemes, topological manifolds, differential manifolds, analytic manifolds, etc. Through the theory of Grothendieck topologies and geometric contexts, geometry turns out to be the study of local properties which are stable under base change.

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