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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NOTE={preprint},
YEAR={2008},
} -
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author={Ash, Avner and Pollack, D. and Stevens, Glenn},
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} -
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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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CODEN = {COLMBA},
MRCLASS = {11F75 (11F33 11F85)},
MRNUMBER = {1464013},
MRREVIEWER = {Ian Kiming},
ZBLNUMBER = {0866.20038},
} -
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@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)},
JOURNAL = {Collect. Math.},
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} -
@misc{AS06,
author={Ash, Avner and Stevens, Glenn},
TITLE={$p$-adic deformations of arithmetic cohomology},
NOTE={preprint},
YEAR={2008},
URL={http://www2.bc.edu/~ashav/},
} -
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}