论文标题
Hodge-Iwasawa理论II
Hodge-Iwasawa Theory II
论文作者
论文摘要
我们继续对霍奇 - 伊瓦川理论的研究继续进行，这是我们先前关于霍奇 - 伊瓦川理论的工作的延续，该理论的目的是在一般分析空间或ADIC空间上对较高维度的霍奇结构的较高维度变形。我们仍然密切关注Kedlaya-liu的方法，以在不同种类的周期环上研究我们的Frobenius模块，包括更概括的完美时期环和相应的不完美时期环。希望将变形的信息全球化，以便将变形的周期环组织到相应的滑轮上，相对于系数滑轮，这将建立一些在Frobenius Sheaves的Moduli进一步应用的基础上。
We continue our study on the Hodge-Iwasawa theory which is a continuation of our previous work on Hodge-Iwasawa theory, which is aimed at higher dimensional deformation of higher dimensional Hodge structures over general analytic spaces or adic spaces. We still follow closely the approaches of Kedlaya-Liu to study our Frobenius modules over the different kinds of period rings including more generalized perfect period rings and the corresponding imperfect period rings. It is desirable that one can globalize the deformed information in order to organize the deformed period rings into the corresponding sheaves with respect to the coefficient sheaves, which will build up some foundations on further application to moduli of Frobenius sheaves.
