Greenberg函子是Site余连续的
The Greenberg Functor is Site Cocontinuous
摘要：
本文证明了在$p$ -adic整数环上的形式概形型范畴上，当我们给剩余域上的概型范畴赋予tale拓扑时，有可能定义一个拓扑，使得Greenberg变换的左伴随是一个同址余连续函子.我们进一步表明，这种拓扑结构允许我们给相应的基本群之间的同构，并使用这种同构表明，它是可能的geometrize的准特征的$p$ -进环面的一个局部系统上的一个形式概形的环上的$p$ -进整数。
英文摘要：
In this paper we show that it is possible to define a topology on the category of formal schemes over a ring of $p$-adic integers such that the left adjoint of the Greenberg Transform is a site cocontinuous functor when we equip the category of schemes over the residue field with the étale topology. We show furthermore that this topology allows us to give an isomorphism between the corresponding fundamental groups, and use this isomorphism to show that it is possible to geometrize the quasicharacters of a $p$-adic torus by a local system on a formal scheme over the ring of $p$-adic integers.
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