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arXiv · 1405.7587

$p$-adic families of automorphic forms over some unitary Shimura varieties

Xu Shen
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Abstract

We construct some $n$-dimensional eigenvarieties for finite slope overconvergent eigenforms over some unitary Shimura varieties with signature $(1,n-1)\times(0,n)\times\cdots\times(0,n)$ by adapting Andreatta-Iovita-Pilloni's method. We also show that there are some Galois pseudo-characters over our eigenvarieties by studying analytic continuation of finite slope eigenforms over these Shimura varieties.

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Xu Shen. 2014-05-29. $p$-adic families of automorphic forms over some unitary Shimura varieties. https://arxiv.org/abs/1405.7587

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