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On the Iwasawa theory of the Lubin–Tate moduli space
Published online by Cambridge University Press: 26 February 2013
Abstract
We study the affine formal algebra $R$ of the Lubin–Tate deformation space as a module over two different rings. One is the completed group ring of the automorphism group
$\Gamma $ of the formal module of the deformation problem, the other one is the spherical Hecke algebra of a general linear group. In the most basic case of height two and ground field
$\mathbb {Q}_p$, our structure results include a flatness assertion for
$R$ over the spherical Hecke algebra and allow us to compute the continuous (co)homology of
$\Gamma $ with coefficients in
$R$.
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- Research Article
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- Copyright © 2013 The Author(s)
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