Abstract
We develop the theory of overconvergent cohomology introduced by G. Stevens, and we use it to give a construction of eigenvarieties associated to any reductive group $G$ over $\mathbb{Q}$ such that $G(\mathbb{R})$ has discrete series. We prove that the so-called eigenvarieties are equidimensional and generically flat over the weight space.
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@misc{Ash, SORTYEAR={2008},
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NOTE={preprint},
YEAR={2008},
} -
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A. Ash, D. Pollack, and G. Stevens, Rigidity of $p$-adic cohomology classes of congruence subgroups of ${ GL}({N},{\mathbb{Z}})$.@misc{APS,
author={Ash, Avner and Pollack, D. and Stevens, Glenn},
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{\mathbb{Z}})$}},
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@article {ASord, MRKEY = {1464013},
AUTHOR = {Ash, Avner and Stevens, Glenn},
TITLE = {{$p$}-adic deformations of cohomology classes of subgroups of {${\rm GL}(n,{\bf Z})$}},
NOTE = {Journ{é}es Arithm{é}tiques (Barcelona, 1995)},
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MRNUMBER = {1464013},
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ZBLNUMBER = {0866.20038},
} -
[AS] A. Ash and G. Stevens, "$p$-adic deformations of cohomology classes of subgroups of ${ GL}(n,{\bf Z})$," Collect. Math., vol. 48, iss. 1-2, pp. 1-30, 1997.
@article {AS, MRKEY = {1464013},
AUTHOR = {Ash, Avner and Stevens, Glenn},
TITLE = {{$p$}-adic deformations of cohomology classes of subgroups of {${\rm GL}(n,{\bf Z})$}},
NOTE = {Journ{é}es Arithm{é}tiques (Barcelona, 1995)},
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} -
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@misc{AS06,
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NOTE={preprint},
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URL={http://www2.bc.edu/~ashav/},
} -
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