On the p-adic Eichler-Shimura isomorphism for Λ-adic cusp forms.

On the p-adic Eichler-Shimura isomorphism for Λ-adic cusp forms.
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关于 Λ 进尖点形式的 p 进 Eichler-Shimura 同构。

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发表时间:
1995
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通讯作者:
M. Ohta
M. Ohta
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作者:
M. Ohta

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在我们之前的研究中,受Ihara [I]的工作的激励,我们研究了几种与“几乎亲-/?”代数曲线的塔。特别地,在[O]§7中,我们研究了与某椭圆模曲线塔有关的群;以及作用于它们的赫克算符。本文是前一篇论文的延续;本文的目的是从p进Hodge-Tate理论的角度研究椭圆模塔上的一维抛物上同群的结构。(这就是为什么我们用“/?”代替[O]中的“/”。)
In our previous investigation, motivated by a work of Ihara [I], we studied several types of one-dimensional p-adic cohomology groups attached to "almost pro-/? towers" of algebraic curves. Especially, in [O], §7, we looked into such groups associated with a certain tower of elliptic modular curves; and also the Hecke operators acting on them. This paper is a continuation of the previous one; and our purpose here is to study the structure of the one-dimensional parabolic cohomology group attached to the elliptic modular tower from the point of view of the p-adic Hodge-Tate theory. (This is why we replace "/" in [O] by "/?" in this paper.)