论文标题

Hodge-Iwasawa模块的类别和共同体学

Category and Cohomology of Hodge-Iwasawa Modules

论文作者

Tong, Xin

论文摘要

在本文中,我们研究了我们在有关霍奇 - 伊瓦沙理论的系列论文中开发的相应类别和相应的霍奇 - iwasawa模块的共同体。相应的共同体将在与相应的外华理论考虑的相应发展中至关重要,而对于相应的研究,它们在对一般分析空间的相应变形的相应研究中也非常重要。 We contact with some applications in analytic geometry and arithmetic geometry which all have their own interests and deserve further study for us in the future, including local systems over general analytic spaces after Kedlaya-Liu, arithmetic Riemann-Hilbert correspondence in families after Liu-Zhu, and equivariant Iwasawa theory and geometrization of equivariant Iwasawa theory after Berger-Fourquaux and中村。

In this paper we study the corresponding categories and the corresponding cohomologies of the Hodge-Iwasawa modules we developed in our series papers on Hodge-Iwasawa theory. The corresponding cohomologies will be essential in the corresponding development of the contact with the corresponding Iwasawa theoretic consideration, while they are as well very crucial in the corresponding study of the corresponding deformations of local systems over general analytic spaces. We contact with some applications in analytic geometry and arithmetic geometry which all have their own interests and deserve further study for us in the future, including local systems over general analytic spaces after Kedlaya-Liu, arithmetic Riemann-Hilbert correspondence in families after Liu-Zhu, and equivariant Iwasawa theory and geometrization of equivariant Iwasawa theory after Berger-Fourquaux and Nakamura.

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