微分复形与分层亲模
Differential Complexes and Stratified Pro-Modules
摘要:
本文引入了层Pro-模范畴和该范畴中诱导对象的概念。我们提出了一个翻译的Morihiko齐藤等价结果使用的对偶语言的亲对象。证明了层Pro-模的导出范畴与Pro-微分复形范畴的等价性。我们还提供了一个比较的概念,晶体的Pro模(P. Deligne在1960年推出)。
英文摘要:
In this paper we introduce the category of stratified Pro-modules and the notion of induced object in this category. We propose a translation of a Morihiko Saito equivalence result using the dual language of Pro-objects. So we prove an equivalence between the derived category of stratified Pro-modules and the category of Pro-differential complexes. We also supply a comparison with the notion of Crystal in Pro-module (introduced by P. Deligne in 1960).
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