On The Adic Formalism
On The Adic Formalism
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论阿迪克形式主义
DOI：
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发表时间：
2007
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影响因子：
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通讯作者：
T. Ekedahl
中科院分区：
文献类型：
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作者：
T. Ekedahl
本文不再像文献[5：Exp.V]中所做的那样，仅仅针对叶轮本身，而是发展了一种关于L-二进叶轮复合体的形式论。这种推广的必要性已经从倒叶理论中变得明显起来，根据倒叶的定义，倒叶是L-二进叶的复合体。当试图进行这样的扩展时，人们立即面临两个问题。一方面，从L滑轮的情况已经清楚地看出，与扭转滑轮的情况相反，人们处理的不是实际的滑轮，而是滑轮的逆系。另一方面，人们想要假装自己是在处理一堆东西，而不是一些更抽象的物体。
This article is concerned with developing a formalism for complexes of l-adic sheaves instead of just for the sheaves themselves as was done in [SGA5:Exp.V]. The need for such a generalisation has become apparent from the theory of perverse sheaves, which by their definition are complexes of l-adic sheaves. When trying to carry through such an extension one is immediately faced with two problems. On the one hand it is clear already from the case of l-adic sheaves that — contrary to the case of torsion sheaves — one is not dealing with actual sheaves but rather inverse systems of sheaves. On the other hand one wants to pretend that one is dealing with sheaves and not some more abstract objects.